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Finding the Fourth Proportional to 65,194.40, 97,794.80 and 34,090.40

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Solution

The fourth proportional to 65,194.40, 97,794.80 and 34,090.40 is: 51,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.40 : 97,794.80 = 34,090.40 : x
  2. Step 2: Convert to fraction form
    65,194.40/97,794.80 = 34,090.40/x
  3. Step 3: Cross multiply
    65,194.40x = 97,794.80 × 34,090.40
  4. Step 4: Simplify right side
    65,194.40x = 3,333,863,849.92
  5. Step 5: Solve for x
    x = 3,333,863,849.92/65,194.40
  6. Step 6: Final answer
    x = 51,137.27

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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.