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Finding the Fourth Proportional to 98,524.38, 135,963.80 and 56,082.91

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Solution

The fourth proportional to 98,524.38, 135,963.80 and 56,082.91 is: 77,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524.38 : 135,963.80 = 56,082.91 : x
  2. Step 2: Convert to fraction form
    98,524.38/135,963.80 = 56,082.91/x
  3. Step 3: Cross multiply
    98,524.38x = 135,963.80 × 56,082.91
  4. Step 4: Simplify right side
    98,524.38x = 7,625,245,558.66
  5. Step 5: Solve for x
    x = 7,625,245,558.66/98,524.38
  6. Step 6: Final answer
    x = 77,394.50

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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.