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Finding the Fourth Proportional to 78,401.76, 108,196.38 and 42,591.76

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Solution

The fourth proportional to 78,401.76, 108,196.38 and 42,591.76 is: 58,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,401.76 : 108,196.38 = 42,591.76 : x
  2. Step 2: Convert to fraction form
    78,401.76/108,196.38 = 42,591.76/x
  3. Step 3: Cross multiply
    78,401.76x = 108,196.38 × 42,591.76
  4. Step 4: Simplify right side
    78,401.76x = 4,608,274,249.83
  5. Step 5: Solve for x
    x = 4,608,274,249.83/78,401.76
  6. Step 6: Final answer
    x = 58,777.69

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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.