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Finding the Fourth Proportional to 78,147.84, 107,843.92 and 42,338

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Solution

The fourth proportional to 78,147.84, 107,843.92 and 42,338 is: 58,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147.84 : 107,843.92 = 42,338 : x
  2. Step 2: Convert to fraction form
    78,147.84/107,843.92 = 42,338/x
  3. Step 3: Cross multiply
    78,147.84x = 107,843.92 × 42,338
  4. Step 4: Simplify right side
    78,147.84x = 4,565,895,884.96
  5. Step 5: Solve for x
    x = 4,565,895,884.96/78,147.84
  6. Step 6: Final answer
    x = 58,426.39

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Why These Related Problems?

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