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Finding the Fourth Proportional to 31,788.83, 47,691.84 and 9,602.93

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Solution

The fourth proportional to 31,788.83, 47,691.84 and 9,602.93 is: 14,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788.83 : 47,691.84 = 9,602.93 : x
  2. Step 2: Convert to fraction form
    31,788.83/47,691.84 = 9,602.93/x
  3. Step 3: Cross multiply
    31,788.83x = 47,691.84 × 9,602.93
  4. Step 4: Simplify right side
    31,788.83x = 457,981,401.09
  5. Step 5: Solve for x
    x = 457,981,401.09/31,788.83
  6. Step 6: Final answer
    x = 14,406.99

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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.