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Finding the Fourth Proportional to 65,224,324.40, 97,848,296.40 and 32,794,613.60

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Solution

The fourth proportional to 65,224,324.40, 97,848,296.40 and 32,794,613.60 is: 49,197,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224,324.40 : 97,848,296.40 = 32,794,613.60 : x
  2. Step 2: Convert to fraction form
    65,224,324.40/97,848,296.40 = 32,794,613.60/x
  3. Step 3: Cross multiply
    65,224,324.40x = 97,848,296.40 × 32,794,613.60
  4. Step 4: Simplify right side
    65,224,324.40x = 3,208,897,071,856,271.50
  5. Step 5: Solve for x
    x = 3,208,897,071,856,271.50/65,224,324.40
  6. Step 6: Final answer
    x = 49,197,858.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.