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Finding the Fourth Proportional to 31,902.86, 47,862.04 and 9,716.66

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Solution

The fourth proportional to 31,902.86, 47,862.04 and 9,716.66 is: 14,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,902.86 : 47,862.04 = 9,716.66 : x
  2. Step 2: Convert to fraction form
    31,902.86/47,862.04 = 9,716.66/x
  3. Step 3: Cross multiply
    31,902.86x = 47,862.04 × 9,716.66
  4. Step 4: Simplify right side
    31,902.86x = 465,059,103.69
  5. Step 5: Solve for x
    x = 465,059,103.69/31,902.86
  6. Step 6: Final answer
    x = 14,577.35

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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.