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Finding the Fourth Proportional to 55,082.38, 76,014.28 and 29,931.88

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Solution

The fourth proportional to 55,082.38, 76,014.28 and 29,931.88 is: 41,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082.38 : 76,014.28 = 29,931.88 : x
  2. Step 2: Convert to fraction form
    55,082.38/76,014.28 = 29,931.88/x
  3. Step 3: Cross multiply
    55,082.38x = 76,014.28 × 29,931.88
  4. Step 4: Simplify right side
    55,082.38x = 2,275,250,307.25
  5. Step 5: Solve for x
    x = 2,275,250,307.25/55,082.38
  6. Step 6: Final answer
    x = 41,306.32

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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.