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Finding the Fourth Proportional to 38,275.64, 57,437.04 and 24,216.30

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Solution

The fourth proportional to 38,275.64, 57,437.04 and 24,216.30 is: 36,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275.64 : 57,437.04 = 24,216.30 : x
  2. Step 2: Convert to fraction form
    38,275.64/57,437.04 = 24,216.30/x
  3. Step 3: Cross multiply
    38,275.64x = 57,437.04 × 24,216.30
  4. Step 4: Simplify right side
    38,275.64x = 1,390,912,591.75
  5. Step 5: Solve for x
    x = 1,390,912,591.75/38,275.64
  6. Step 6: Final answer
    x = 36,339.37

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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.