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Finding the Fourth Proportional to 55,475.52, 83,188.02 and 16,023.24

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Solution

The fourth proportional to 55,475.52, 83,188.02 and 16,023.24 is: 24,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,475.52 : 83,188.02 = 16,023.24 : x
  2. Step 2: Convert to fraction form
    55,475.52/83,188.02 = 16,023.24/x
  3. Step 3: Cross multiply
    55,475.52x = 83,188.02 × 16,023.24
  4. Step 4: Simplify right side
    55,475.52x = 1,332,941,609.58
  5. Step 5: Solve for x
    x = 1,332,941,609.58/55,475.52
  6. Step 6: Final answer
    x = 24,027.56

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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.