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Finding the Fourth Proportional to 98,967.42, 148,422.11 and 27,885.33

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Solution

The fourth proportional to 98,967.42, 148,422.11 and 27,885.33 is: 41,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967.42 : 148,422.11 = 27,885.33 : x
  2. Step 2: Convert to fraction form
    98,967.42/148,422.11 = 27,885.33/x
  3. Step 3: Cross multiply
    98,967.42x = 148,422.11 × 27,885.33
  4. Step 4: Simplify right side
    98,967.42x = 4,138,799,377.22
  5. Step 5: Solve for x
    x = 4,138,799,377.22/98,967.42
  6. Step 6: Final answer
    x = 41,819.82

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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.