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Finding the Fourth Proportional to 65,681.52, 98,532 and 24,125.28

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Solution

The fourth proportional to 65,681.52, 98,532 and 24,125.28 is: 36,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,681.52 : 98,532 = 24,125.28 : x
  2. Step 2: Convert to fraction form
    65,681.52/98,532 = 24,125.28/x
  3. Step 3: Cross multiply
    65,681.52x = 98,532 × 24,125.28
  4. Step 4: Simplify right side
    65,681.52x = 2,377,112,088.96
  5. Step 5: Solve for x
    x = 2,377,112,088.96/65,681.52
  6. Step 6: Final answer
    x = 36,191.49

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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.