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Finding the Fourth Proportional to 31,904.34, 47,882.02 and 14,375.53

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Solution

The fourth proportional to 31,904.34, 47,882.02 and 14,375.53 is: 21,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.34 : 47,882.02 = 14,375.53 : x
  2. Step 2: Convert to fraction form
    31,904.34/47,882.02 = 14,375.53/x
  3. Step 3: Cross multiply
    31,904.34x = 47,882.02 × 14,375.53
  4. Step 4: Simplify right side
    31,904.34x = 688,329,414.97
  5. Step 5: Solve for x
    x = 688,329,414.97/31,904.34
  6. Step 6: Final answer
    x = 21,574.79

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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.