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Finding the Fourth Proportional to 78,595.92, 108,462.38 and 42,786.20

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Solution

The fourth proportional to 78,595.92, 108,462.38 and 42,786.20 is: 59,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,595.92 : 108,462.38 = 42,786.20 : x
  2. Step 2: Convert to fraction form
    78,595.92/108,462.38 = 42,786.20/x
  3. Step 3: Cross multiply
    78,595.92x = 108,462.38 × 42,786.20
  4. Step 4: Simplify right side
    78,595.92x = 4,640,692,326.91
  5. Step 5: Solve for x
    x = 4,640,692,326.91/78,595.92
  6. Step 6: Final answer
    x = 59,044.95

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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.