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Finding the Fourth Proportional to 65,059.48, 97,513.92 and 29,925.40

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Solution

The fourth proportional to 65,059.48, 97,513.92 and 29,925.40 is: 44,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,059.48 : 97,513.92 = 29,925.40 : x
  2. Step 2: Convert to fraction form
    65,059.48/97,513.92 = 29,925.40/x
  3. Step 3: Cross multiply
    65,059.48x = 97,513.92 × 29,925.40
  4. Step 4: Simplify right side
    65,059.48x = 2,918,143,061.57
  5. Step 5: Solve for x
    x = 2,918,143,061.57/65,059.48
  6. Step 6: Final answer
    x = 44,853.46

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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.