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Finding the Fourth Proportional to 65,224,412.90, 97,848,429.15 and 32,794,702.10

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Solution

The fourth proportional to 65,224,412.90, 97,848,429.15 and 32,794,702.10 is: 49,197,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,224,412.90 : 97,848,429.15 = 32,794,702.10 : x
  2. Step 2: Convert to fraction form
    65,224,412.90/97,848,429.15 = 32,794,702.10/x
  3. Step 3: Cross multiply
    65,224,412.90x = 97,848,429.15 × 32,794,702.10
  4. Step 4: Simplify right side
    65,224,412.90x = 3,208,910,084,927,206.50
  5. Step 5: Solve for x
    x = 3,208,910,084,927,206.50/65,224,412.90
  6. Step 6: Final answer
    x = 49,197,991.09

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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.