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Finding the Fourth Proportional to 31,508.83, 47,277.14 and 16,714.12

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Solution

The fourth proportional to 31,508.83, 47,277.14 and 16,714.12 is: 25,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.83 : 47,277.14 = 16,714.12 : x
  2. Step 2: Convert to fraction form
    31,508.83/47,277.14 = 16,714.12/x
  3. Step 3: Cross multiply
    31,508.83x = 47,277.14 × 16,714.12
  4. Step 4: Simplify right side
    31,508.83x = 790,195,714.81
  5. Step 5: Solve for x
    x = 790,195,714.81/31,508.83
  6. Step 6: Final answer
    x = 25,078.55

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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.