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Finding the Fourth Proportional to 78,454.29, 108,267.65 and 42,644.39

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Solution

The fourth proportional to 78,454.29, 108,267.65 and 42,644.39 is: 58,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,454.29 : 108,267.65 = 42,644.39 : x
  2. Step 2: Convert to fraction form
    78,454.29/108,267.65 = 42,644.39/x
  3. Step 3: Cross multiply
    78,454.29x = 108,267.65 × 42,644.39
  4. Step 4: Simplify right side
    78,454.29x = 4,617,007,136.42
  5. Step 5: Solve for x
    x = 4,617,007,136.42/78,454.29
  6. Step 6: Final answer
    x = 58,849.65

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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.