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Finding the Fourth Proportional to 57,776.80, 79,723.92 and 32,282.08

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Solution

The fourth proportional to 57,776.80, 79,723.92 and 32,282.08 is: 44,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776.80 : 79,723.92 = 32,282.08 : x
  2. Step 2: Convert to fraction form
    57,776.80/79,723.92 = 32,282.08/x
  3. Step 3: Cross multiply
    57,776.80x = 79,723.92 × 32,282.08
  4. Step 4: Simplify right side
    57,776.80x = 2,573,653,963.35
  5. Step 5: Solve for x
    x = 2,573,653,963.35/57,776.80
  6. Step 6: Final answer
    x = 44,544.76

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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.