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Finding the Fourth Proportional to 57,280.80, 85,943.10 and 32,349

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Solution

The fourth proportional to 57,280.80, 85,943.10 and 32,349 is: 48,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,280.80 : 85,943.10 = 32,349 : x
  2. Step 2: Convert to fraction form
    57,280.80/85,943.10 = 32,349/x
  3. Step 3: Cross multiply
    57,280.80x = 85,943.10 × 32,349
  4. Step 4: Simplify right side
    57,280.80x = 2,780,173,341.90
  5. Step 5: Solve for x
    x = 2,780,173,341.90/57,280.80
  6. Step 6: Final answer
    x = 48,535.87

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Why These Related Problems?

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