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Finding the Fourth Proportional to 38,471.70, 57,699.45 and 16,285.80

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Solution

The fourth proportional to 38,471.70, 57,699.45 and 16,285.80 is: 24,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.70 : 57,699.45 = 16,285.80 : x
  2. Step 2: Convert to fraction form
    38,471.70/57,699.45 = 16,285.80/x
  3. Step 3: Cross multiply
    38,471.70x = 57,699.45 × 16,285.80
  4. Step 4: Simplify right side
    38,471.70x = 939,681,702.81
  5. Step 5: Solve for x
    x = 939,681,702.81/38,471.70
  6. Step 6: Final answer
    x = 24,425.27

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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.