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Finding the Fourth Proportional to 55,233.38, 76,222.95 and 30,082.88

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Solution

The fourth proportional to 55,233.38, 76,222.95 and 30,082.88 is: 41,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,233.38 : 76,222.95 = 30,082.88 : x
  2. Step 2: Convert to fraction form
    55,233.38/76,222.95 = 30,082.88/x
  3. Step 3: Cross multiply
    55,233.38x = 76,222.95 × 30,082.88
  4. Step 4: Simplify right side
    55,233.38x = 2,293,005,858.10
  5. Step 5: Solve for x
    x = 2,293,005,858.10/55,233.38
  6. Step 6: Final answer
    x = 41,514.86

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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.