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Finding the Fourth Proportional to 68,082.86, 102,062.04 and 28,642.76

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Solution

The fourth proportional to 68,082.86, 102,062.04 and 28,642.76 is: 42,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,082.86 : 102,062.04 = 28,642.76 : x
  2. Step 2: Convert to fraction form
    68,082.86/102,062.04 = 28,642.76/x
  3. Step 3: Cross multiply
    68,082.86x = 102,062.04 × 28,642.76
  4. Step 4: Simplify right side
    68,082.86x = 2,923,338,516.83
  5. Step 5: Solve for x
    x = 2,923,338,516.83/68,082.86
  6. Step 6: Final answer
    x = 42,937.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.