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Finding the Fourth Proportional to 78,386, 108,173 and 42,576.61

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Solution

The fourth proportional to 78,386, 108,173 and 42,576.61 is: 58,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,386 : 108,173 = 42,576.61 : x
  2. Step 2: Convert to fraction form
    78,386/108,173 = 42,576.61/x
  3. Step 3: Cross multiply
    78,386x = 108,173 × 42,576.61
  4. Step 4: Simplify right side
    78,386x = 4,605,639,633.53
  5. Step 5: Solve for x
    x = 4,605,639,633.53/78,386
  6. Step 6: Final answer
    x = 58,755.90

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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.