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Finding the Fourth Proportional to 37,120.32, 55,687.68 and 10,825.20

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Solution

The fourth proportional to 37,120.32, 55,687.68 and 10,825.20 is: 16,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,120.32 : 55,687.68 = 10,825.20 : x
  2. Step 2: Convert to fraction form
    37,120.32/55,687.68 = 10,825.20/x
  3. Step 3: Cross multiply
    37,120.32x = 55,687.68 × 10,825.20
  4. Step 4: Simplify right side
    37,120.32x = 602,830,273.54
  5. Step 5: Solve for x
    x = 602,830,273.54/37,120.32
  6. Step 6: Final answer
    x = 16,239.90

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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.