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Finding the Fourth Proportional to 78,046.38, 107,704.26 and 42,236.38

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Solution

The fourth proportional to 78,046.38, 107,704.26 and 42,236.38 is: 58,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.38 : 107,704.26 = 42,236.38 : x
  2. Step 2: Convert to fraction form
    78,046.38/107,704.26 = 42,236.38/x
  3. Step 3: Cross multiply
    78,046.38x = 107,704.26 × 42,236.38
  4. Step 4: Simplify right side
    78,046.38x = 4,549,038,052.98
  5. Step 5: Solve for x
    x = 4,549,038,052.98/78,046.38
  6. Step 6: Final answer
    x = 58,286.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.