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Finding the Fourth Proportional to 57,711.64, 79,642.14 and 32,563.48

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Solution

The fourth proportional to 57,711.64, 79,642.14 and 32,563.48 is: 44,937.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,711.64 : 79,642.14 = 32,563.48 : x
  2. Step 2: Convert to fraction form
    57,711.64/79,642.14 = 32,563.48/x
  3. Step 3: Cross multiply
    57,711.64x = 79,642.14 × 32,563.48
  4. Step 4: Simplify right side
    57,711.64x = 2,593,425,233.05
  5. Step 5: Solve for x
    x = 2,593,425,233.05/57,711.64
  6. Step 6: Final answer
    x = 44,937.65

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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.