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Finding the Fourth Proportional to 38,434.93, 57,678.05 and 13,474.96

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Solution

The fourth proportional to 38,434.93, 57,678.05 and 13,474.96 is: 20,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.93 : 57,678.05 = 13,474.96 : x
  2. Step 2: Convert to fraction form
    38,434.93/57,678.05 = 13,474.96/x
  3. Step 3: Cross multiply
    38,434.93x = 57,678.05 × 13,474.96
  4. Step 4: Simplify right side
    38,434.93x = 777,209,349.25
  5. Step 5: Solve for x
    x = 777,209,349.25/38,434.93
  6. Step 6: Final answer
    x = 20,221.43

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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.