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Finding the Fourth Proportional to 31,587.70, 47,381.55 and 8,214.14

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Solution

The fourth proportional to 31,587.70, 47,381.55 and 8,214.14 is: 12,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587.70 : 47,381.55 = 8,214.14 : x
  2. Step 2: Convert to fraction form
    31,587.70/47,381.55 = 8,214.14/x
  3. Step 3: Cross multiply
    31,587.70x = 47,381.55 × 8,214.14
  4. Step 4: Simplify right side
    31,587.70x = 389,198,566.66
  5. Step 5: Solve for x
    x = 389,198,566.66/31,587.70
  6. Step 6: Final answer
    x = 12,321.21

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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.