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Finding the Fourth Proportional to 37,641.68, 56,454.28 and 15,433.20

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Solution

The fourth proportional to 37,641.68, 56,454.28 and 15,433.20 is: 23,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.68 : 56,454.28 = 15,433.20 : x
  2. Step 2: Convert to fraction form
    37,641.68/56,454.28 = 15,433.20/x
  3. Step 3: Cross multiply
    37,641.68x = 56,454.28 × 15,433.20
  4. Step 4: Simplify right side
    37,641.68x = 871,270,194.10
  5. Step 5: Solve for x
    x = 871,270,194.10/37,641.68
  6. Step 6: Final answer
    x = 23,146.42

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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.