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Finding the Fourth Proportional to 98,523.90, 135,963.12 and 56,082.42

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Solution

The fourth proportional to 98,523.90, 135,963.12 and 56,082.42 is: 77,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523.90 : 135,963.12 = 56,082.42 : x
  2. Step 2: Convert to fraction form
    98,523.90/135,963.12 = 56,082.42/x
  3. Step 3: Cross multiply
    98,523.90x = 135,963.12 × 56,082.42
  4. Step 4: Simplify right side
    98,523.90x = 7,625,140,800.35
  5. Step 5: Solve for x
    x = 7,625,140,800.35/98,523.90
  6. Step 6: Final answer
    x = 77,393.82

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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.