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Finding the Fourth Proportional to 31,781.84, 47,672.28 and 11,005.52

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Solution

The fourth proportional to 31,781.84, 47,672.28 and 11,005.52 is: 16,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.84 : 47,672.28 = 11,005.52 : x
  2. Step 2: Convert to fraction form
    31,781.84/47,672.28 = 11,005.52/x
  3. Step 3: Cross multiply
    31,781.84x = 47,672.28 × 11,005.52
  4. Step 4: Simplify right side
    31,781.84x = 524,658,230.99
  5. Step 5: Solve for x
    x = 524,658,230.99/31,781.84
  6. Step 6: Final answer
    x = 16,508.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.