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Finding the Fourth Proportional to 55,229.48, 76,218.84 and 31,358.38

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Solution

The fourth proportional to 55,229.48, 76,218.84 and 31,358.38 is: 43,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,229.48 : 76,218.84 = 31,358.38 : x
  2. Step 2: Convert to fraction form
    55,229.48/76,218.84 = 31,358.38/x
  3. Step 3: Cross multiply
    55,229.48x = 76,218.84 × 31,358.38
  4. Step 4: Simplify right side
    55,229.48x = 2,390,099,347.88
  5. Step 5: Solve for x
    x = 2,390,099,347.88/55,229.48
  6. Step 6: Final answer
    x = 43,275.79

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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.