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Finding the Fourth Proportional to 98,263.75, 147,426.77 and 35,082.49

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Solution

The fourth proportional to 98,263.75, 147,426.77 and 35,082.49 is: 52,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,263.75 : 147,426.77 = 35,082.49 : x
  2. Step 2: Convert to fraction form
    98,263.75/147,426.77 = 35,082.49/x
  3. Step 3: Cross multiply
    98,263.75x = 147,426.77 × 35,082.49
  4. Step 4: Simplify right side
    98,263.75x = 5,172,098,184.26
  5. Step 5: Solve for x
    x = 5,172,098,184.26/98,263.75
  6. Step 6: Final answer
    x = 52,634.85

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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.