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Finding the Fourth Proportional to 57,242.99, 85,753.30 and 32,206.70

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Solution

The fourth proportional to 57,242.99, 85,753.30 and 32,206.70 is: 48,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.99 : 85,753.30 = 32,206.70 : x
  2. Step 2: Convert to fraction form
    57,242.99/85,753.30 = 32,206.70/x
  3. Step 3: Cross multiply
    57,242.99x = 85,753.30 × 32,206.70
  4. Step 4: Simplify right side
    57,242.99x = 2,761,830,807.11
  5. Step 5: Solve for x
    x = 2,761,830,807.11/57,242.99
  6. Step 6: Final answer
    x = 48,247.49

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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.