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Finding the Fourth Proportional to 31,598.96, 47,405.50 and 11,877.69

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Solution

The fourth proportional to 31,598.96, 47,405.50 and 11,877.69 is: 17,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.96 : 47,405.50 = 11,877.69 : x
  2. Step 2: Convert to fraction form
    31,598.96/47,405.50 = 11,877.69/x
  3. Step 3: Cross multiply
    31,598.96x = 47,405.50 × 11,877.69
  4. Step 4: Simplify right side
    31,598.96x = 563,067,781.53
  5. Step 5: Solve for x
    x = 563,067,781.53/31,598.96
  6. Step 6: Final answer
    x = 17,819.19

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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.