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Finding the Fourth Proportional to 37,442.40, 56,169.06 and 13,424.88

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Solution

The fourth proportional to 37,442.40, 56,169.06 and 13,424.88 is: 20,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,442.40 : 56,169.06 = 13,424.88 : x
  2. Step 2: Convert to fraction form
    37,442.40/56,169.06 = 13,424.88/x
  3. Step 3: Cross multiply
    37,442.40x = 56,169.06 × 13,424.88
  4. Step 4: Simplify right side
    37,442.40x = 754,062,890.21
  5. Step 5: Solve for x
    x = 754,062,890.21/37,442.40
  6. Step 6: Final answer
    x = 20,139.28

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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.