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Finding the Fourth Proportional to 57,205.20, 85,807.80 and 38,542.80

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Solution

The fourth proportional to 57,205.20, 85,807.80 and 38,542.80 is: 57,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.20 : 85,807.80 = 38,542.80 : x
  2. Step 2: Convert to fraction form
    57,205.20/85,807.80 = 38,542.80/x
  3. Step 3: Cross multiply
    57,205.20x = 85,807.80 × 38,542.80
  4. Step 4: Simplify right side
    57,205.20x = 3,307,272,873.84
  5. Step 5: Solve for x
    x = 3,307,272,873.84/57,205.20
  6. Step 6: Final answer
    x = 57,814.20

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1.5x scale

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.