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Finding the Fourth Proportional to 78,078.18, 107,747.15 and 42,267.27

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Solution

The fourth proportional to 78,078.18, 107,747.15 and 42,267.27 is: 58,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.18 : 107,747.15 = 42,267.27 : x
  2. Step 2: Convert to fraction form
    78,078.18/107,747.15 = 42,267.27/x
  3. Step 3: Cross multiply
    78,078.18x = 107,747.15 × 42,267.27
  4. Step 4: Simplify right side
    78,078.18x = 4,554,177,669.44
  5. Step 5: Solve for x
    x = 4,554,177,669.44/78,078.18
  6. Step 6: Final answer
    x = 58,328.43

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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.