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Finding the Fourth Proportional to 57,724.98, 79,659.71 and 32,231.78

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Solution

The fourth proportional to 57,724.98, 79,659.71 and 32,231.78 is: 44,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,724.98 : 79,659.71 = 32,231.78 : x
  2. Step 2: Convert to fraction form
    57,724.98/79,659.71 = 32,231.78/x
  3. Step 3: Cross multiply
    57,724.98x = 79,659.71 × 32,231.78
  4. Step 4: Simplify right side
    57,724.98x = 2,567,574,737.11
  5. Step 5: Solve for x
    x = 2,567,574,737.11/57,724.98
  6. Step 6: Final answer
    x = 44,479.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.