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Finding the Fourth Proportional to 31,589.92, 47,331.34 and 19,083.68

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Solution

The fourth proportional to 31,589.92, 47,331.34 and 19,083.68 is: 28,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,589.92 : 47,331.34 = 19,083.68 : x
  2. Step 2: Convert to fraction form
    31,589.92/47,331.34 = 19,083.68/x
  3. Step 3: Cross multiply
    31,589.92x = 47,331.34 × 19,083.68
  4. Step 4: Simplify right side
    31,589.92x = 903,256,146.53
  5. Step 5: Solve for x
    x = 903,256,146.53/31,589.92
  6. Step 6: Final answer
    x = 28,593.18

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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.