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Finding the Fourth Proportional to 78,786.86, 108,727.38 and 42,978.17

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Solution

The fourth proportional to 78,786.86, 108,727.38 and 42,978.17 is: 59,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,786.86 : 108,727.38 = 42,978.17 : x
  2. Step 2: Convert to fraction form
    78,786.86/108,727.38 = 42,978.17/x
  3. Step 3: Cross multiply
    78,786.86x = 108,727.38 × 42,978.17
  4. Step 4: Simplify right side
    78,786.86x = 4,672,904,093.11
  5. Step 5: Solve for x
    x = 4,672,904,093.11/78,786.86
  6. Step 6: Final answer
    x = 59,310.71

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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.