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Finding the Fourth Proportional to 69,654.87, 96,123.92 and 37,824.30

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Solution

The fourth proportional to 69,654.87, 96,123.92 and 37,824.30 is: 52,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,654.87 : 96,123.92 = 37,824.30 : x
  2. Step 2: Convert to fraction form
    69,654.87/96,123.92 = 37,824.30/x
  3. Step 3: Cross multiply
    69,654.87x = 96,123.92 × 37,824.30
  4. Step 4: Simplify right side
    69,654.87x = 3,635,819,798.13
  5. Step 5: Solve for x
    x = 3,635,819,798.13/69,654.87
  6. Step 6: Final answer
    x = 52,197.64

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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.