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Finding the Fourth Proportional to 101,882.10, 152,829.90 and 27,001.20

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Solution

The fourth proportional to 101,882.10, 152,829.90 and 27,001.20 is: 40,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,882.10 : 152,829.90 = 27,001.20 : x
  2. Step 2: Convert to fraction form
    101,882.10/152,829.90 = 27,001.20/x
  3. Step 3: Cross multiply
    101,882.10x = 152,829.90 × 27,001.20
  4. Step 4: Simplify right side
    101,882.10x = 4,126,590,695.88
  5. Step 5: Solve for x
    x = 4,126,590,695.88/101,882.10
  6. Step 6: Final answer
    x = 40,503.59

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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.