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Finding the Fourth Proportional to 98,022.49, 147,049.11 and 41,862.88

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Solution

The fourth proportional to 98,022.49, 147,049.11 and 41,862.88 is: 62,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,022.49 : 147,049.11 = 41,862.88 : x
  2. Step 2: Convert to fraction form
    98,022.49/147,049.11 = 41,862.88/x
  3. Step 3: Cross multiply
    98,022.49x = 147,049.11 × 41,862.88
  4. Step 4: Simplify right side
    98,022.49x = 6,155,899,246.04
  5. Step 5: Solve for x
    x = 6,155,899,246.04/98,022.49
  6. Step 6: Final answer
    x = 62,800.89

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