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Finding the Fourth Proportional to 31,435.20, 47,083.14 and 18,254.88

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Solution

The fourth proportional to 31,435.20, 47,083.14 and 18,254.88 is: 27,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,435.20 : 47,083.14 = 18,254.88 : x
  2. Step 2: Convert to fraction form
    31,435.20/47,083.14 = 18,254.88/x
  3. Step 3: Cross multiply
    31,435.20x = 47,083.14 × 18,254.88
  4. Step 4: Simplify right side
    31,435.20x = 859,497,070.72
  5. Step 5: Solve for x
    x = 859,497,070.72/31,435.20
  6. Step 6: Final answer
    x = 27,341.87

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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.