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Finding the Fourth Proportional to 37,242.68, 55,864.62 and 9,162.81

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Solution

The fourth proportional to 37,242.68, 55,864.62 and 9,162.81 is: 13,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242.68 : 55,864.62 = 9,162.81 : x
  2. Step 2: Convert to fraction form
    37,242.68/55,864.62 = 9,162.81/x
  3. Step 3: Cross multiply
    37,242.68x = 55,864.62 × 9,162.81
  4. Step 4: Simplify right side
    37,242.68x = 511,876,898.78
  5. Step 5: Solve for x
    x = 511,876,898.78/37,242.68
  6. Step 6: Final answer
    x = 13,744.36

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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.