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Finding the Fourth Proportional to 31,781.48, 47,665.47 and 12,053.12

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Solution

The fourth proportional to 31,781.48, 47,665.47 and 12,053.12 is: 18,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.48 : 47,665.47 = 12,053.12 : x
  2. Step 2: Convert to fraction form
    31,781.48/47,665.47 = 12,053.12/x
  3. Step 3: Cross multiply
    31,781.48x = 47,665.47 × 12,053.12
  4. Step 4: Simplify right side
    31,781.48x = 574,517,629.77
  5. Step 5: Solve for x
    x = 574,517,629.77/31,781.48
  6. Step 6: Final answer
    x = 18,077.12

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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.