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Finding the Fourth Proportional to 31,642.76, 47,472.06 and 9,456.04

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Solution

The fourth proportional to 31,642.76, 47,472.06 and 9,456.04 is: 14,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.76 : 47,472.06 = 9,456.04 : x
  2. Step 2: Convert to fraction form
    31,642.76/47,472.06 = 9,456.04/x
  3. Step 3: Cross multiply
    31,642.76x = 47,472.06 × 9,456.04
  4. Step 4: Simplify right side
    31,642.76x = 448,897,698.24
  5. Step 5: Solve for x
    x = 448,897,698.24/31,642.76
  6. Step 6: Final answer
    x = 14,186.43

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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.