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Finding the Fourth Proportional to 57,230.64, 85,807.44 and 22,129.20

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Solution

The fourth proportional to 57,230.64, 85,807.44 and 22,129.20 is: 33,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230.64 : 85,807.44 = 22,129.20 : x
  2. Step 2: Convert to fraction form
    57,230.64/85,807.44 = 22,129.20/x
  3. Step 3: Cross multiply
    57,230.64x = 85,807.44 × 22,129.20
  4. Step 4: Simplify right side
    57,230.64x = 1,898,850,001.25
  5. Step 5: Solve for x
    x = 1,898,850,001.25/57,230.64
  6. Step 6: Final answer
    x = 33,178.91

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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.