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Finding the Fourth Proportional to 89,525.80, 123,535.92 and 51,793

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Solution

The fourth proportional to 89,525.80, 123,535.92 and 51,793 is: 71,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,525.80 : 123,535.92 = 51,793 : x
  2. Step 2: Convert to fraction form
    89,525.80/123,535.92 = 51,793/x
  3. Step 3: Cross multiply
    89,525.80x = 123,535.92 × 51,793
  4. Step 4: Simplify right side
    89,525.80x = 6,398,295,904.56
  5. Step 5: Solve for x
    x = 6,398,295,904.56/89,525.80
  6. Step 6: Final answer
    x = 71,468.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.