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Finding the Fourth Proportional to 31,776.68, 47,623.70 and 15,142.12

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Solution

The fourth proportional to 31,776.68, 47,623.70 and 15,142.12 is: 22,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.68 : 47,623.70 = 15,142.12 : x
  2. Step 2: Convert to fraction form
    31,776.68/47,623.70 = 15,142.12/x
  3. Step 3: Cross multiply
    31,776.68x = 47,623.70 × 15,142.12
  4. Step 4: Simplify right side
    31,776.68x = 721,123,780.24
  5. Step 5: Solve for x
    x = 721,123,780.24/31,776.68
  6. Step 6: Final answer
    x = 22,693.49

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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.