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Finding the Fourth Proportional to 54,920.77, 75,793.93 and 31,049.66

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Solution

The fourth proportional to 54,920.77, 75,793.93 and 31,049.66 is: 42,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.77 : 75,793.93 = 31,049.66 : x
  2. Step 2: Convert to fraction form
    54,920.77/75,793.93 = 31,049.66/x
  3. Step 3: Cross multiply
    54,920.77x = 75,793.93 × 31,049.66
  4. Step 4: Simplify right side
    54,920.77x = 2,353,375,868.42
  5. Step 5: Solve for x
    x = 2,353,375,868.42/54,920.77
  6. Step 6: Final answer
    x = 42,850.38

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Double scale
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1.5x scale

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.