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Finding the Fourth Proportional to 38,475.95, 57,720 and 16,289.47

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Solution

The fourth proportional to 38,475.95, 57,720 and 16,289.47 is: 24,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.95 : 57,720 = 16,289.47 : x
  2. Step 2: Convert to fraction form
    38,475.95/57,720 = 16,289.47/x
  3. Step 3: Cross multiply
    38,475.95x = 57,720 × 16,289.47
  4. Step 4: Simplify right side
    38,475.95x = 940,227,919.80
  5. Step 5: Solve for x
    x = 940,227,919.80/38,475.95
  6. Step 6: Final answer
    x = 24,436.77

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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.