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Finding the Fourth Proportional to 52,731.50, 79,098.24 and 24,643.85

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Solution

The fourth proportional to 52,731.50, 79,098.24 and 24,643.85 is: 36,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,731.50 : 79,098.24 = 24,643.85 : x
  2. Step 2: Convert to fraction form
    52,731.50/79,098.24 = 24,643.85/x
  3. Step 3: Cross multiply
    52,731.50x = 79,098.24 × 24,643.85
  4. Step 4: Simplify right side
    52,731.50x = 1,949,285,161.82
  5. Step 5: Solve for x
    x = 1,949,285,161.82/52,731.50
  6. Step 6: Final answer
    x = 36,966.24

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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.