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Finding the Fourth Proportional to 69,915.52, 96,484.26 and 38,084.68

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Solution

The fourth proportional to 69,915.52, 96,484.26 and 38,084.68 is: 52,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,915.52 : 96,484.26 = 38,084.68 : x
  2. Step 2: Convert to fraction form
    69,915.52/96,484.26 = 38,084.68/x
  3. Step 3: Cross multiply
    69,915.52x = 96,484.26 × 38,084.68
  4. Step 4: Simplify right side
    69,915.52x = 3,674,572,167.14
  5. Step 5: Solve for x
    x = 3,674,572,167.14/69,915.52
  6. Step 6: Final answer
    x = 52,557.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.