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Finding the Fourth Proportional to 77,091.83, 115,633.60 and 24,497.21

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Solution

The fourth proportional to 77,091.83, 115,633.60 and 24,497.21 is: 36,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,091.83 : 115,633.60 = 24,497.21 : x
  2. Step 2: Convert to fraction form
    77,091.83/115,633.60 = 24,497.21/x
  3. Step 3: Cross multiply
    77,091.83x = 115,633.60 × 24,497.21
  4. Step 4: Simplify right side
    77,091.83x = 2,832,700,553.78
  5. Step 5: Solve for x
    x = 2,832,700,553.78/77,091.83
  6. Step 6: Final answer
    x = 36,744.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.