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Finding the Fourth Proportional to 37,142.89, 55,722.99 and 20,498.92

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Solution

The fourth proportional to 37,142.89, 55,722.99 and 20,498.92 is: 30,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.89 : 55,722.99 = 20,498.92 : x
  2. Step 2: Convert to fraction form
    37,142.89/55,722.99 = 20,498.92/x
  3. Step 3: Cross multiply
    37,142.89x = 55,722.99 × 20,498.92
  4. Step 4: Simplify right side
    37,142.89x = 1,142,261,114.17
  5. Step 5: Solve for x
    x = 1,142,261,114.17/37,142.89
  6. Step 6: Final answer
    x = 30,753.16

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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.