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Finding the Fourth Proportional to 98,424.26, 147,638.67 and 35,248.71

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Solution

The fourth proportional to 98,424.26, 147,638.67 and 35,248.71 is: 52,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,424.26 : 147,638.67 = 35,248.71 : x
  2. Step 2: Convert to fraction form
    98,424.26/147,638.67 = 35,248.71/x
  3. Step 3: Cross multiply
    98,424.26x = 147,638.67 × 35,248.71
  4. Step 4: Simplify right side
    98,424.26x = 5,204,073,085.08
  5. Step 5: Solve for x
    x = 5,204,073,085.08/98,424.26
  6. Step 6: Final answer
    x = 52,873.89

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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.