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Finding the Fourth Proportional to 98,949.62, 148,424.54 and 24,069.24

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Solution

The fourth proportional to 98,949.62, 148,424.54 and 24,069.24 is: 36,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,949.62 : 148,424.54 = 24,069.24 : x
  2. Step 2: Convert to fraction form
    98,949.62/148,424.54 = 24,069.24/x
  3. Step 3: Cross multiply
    98,949.62x = 148,424.54 × 24,069.24
  4. Step 4: Simplify right side
    98,949.62x = 3,572,465,754.80
  5. Step 5: Solve for x
    x = 3,572,465,754.80/98,949.62
  6. Step 6: Final answer
    x = 36,103.89

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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.