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Finding the Fourth Proportional to 98,723.70, 148,100.97 and 32,148.17

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Solution

The fourth proportional to 98,723.70, 148,100.97 and 32,148.17 is: 48,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,723.70 : 148,100.97 = 32,148.17 : x
  2. Step 2: Convert to fraction form
    98,723.70/148,100.97 = 32,148.17/x
  3. Step 3: Cross multiply
    98,723.70x = 148,100.97 × 32,148.17
  4. Step 4: Simplify right side
    98,723.70x = 4,761,175,160.72
  5. Step 5: Solve for x
    x = 4,761,175,160.72/98,723.70
  6. Step 6: Final answer
    x = 48,227.28

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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.