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Finding the Fourth Proportional to 69,931.50, 96,505.47 and 38,100.39

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Solution

The fourth proportional to 69,931.50, 96,505.47 and 38,100.39 is: 52,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,931.50 : 96,505.47 = 38,100.39 : x
  2. Step 2: Convert to fraction form
    69,931.50/96,505.47 = 38,100.39/x
  3. Step 3: Cross multiply
    69,931.50x = 96,505.47 × 38,100.39
  4. Step 4: Simplify right side
    69,931.50x = 3,676,896,044.13
  5. Step 5: Solve for x
    x = 3,676,896,044.13/69,931.50
  6. Step 6: Final answer
    x = 52,578.54

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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.