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Finding the Fourth Proportional to 31,929, 47,901.18 and 10,041

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Solution

The fourth proportional to 31,929, 47,901.18 and 10,041 is: 15,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,929 : 47,901.18 = 10,041 : x
  2. Step 2: Convert to fraction form
    31,929/47,901.18 = 10,041/x
  3. Step 3: Cross multiply
    31,929x = 47,901.18 × 10,041
  4. Step 4: Simplify right side
    31,929x = 480,975,748.38
  5. Step 5: Solve for x
    x = 480,975,748.38/31,929
  6. Step 6: Final answer
    x = 15,063.92

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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.