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Finding the Fourth Proportional to 31,781.98, 47,666.22 and 12,053.62

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Solution

The fourth proportional to 31,781.98, 47,666.22 and 12,053.62 is: 18,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.98 : 47,666.22 = 12,053.62 : x
  2. Step 2: Convert to fraction form
    31,781.98/47,666.22 = 12,053.62/x
  3. Step 3: Cross multiply
    31,781.98x = 47,666.22 × 12,053.62
  4. Step 4: Simplify right side
    31,781.98x = 574,550,502.72
  5. Step 5: Solve for x
    x = 574,550,502.72/31,781.98
  6. Step 6: Final answer
    x = 18,077.87

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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.