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Finding the Fourth Proportional to 101,872.71, 152,810.44 and 27,000.09

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Solution

The fourth proportional to 101,872.71, 152,810.44 and 27,000.09 is: 40,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.71 : 152,810.44 = 27,000.09 : x
  2. Step 2: Convert to fraction form
    101,872.71/152,810.44 = 27,000.09/x
  3. Step 3: Cross multiply
    101,872.71x = 152,810.44 × 27,000.09
  4. Step 4: Simplify right side
    101,872.71x = 4,125,895,565.44
  5. Step 5: Solve for x
    x = 4,125,895,565.44/101,872.71
  6. Step 6: Final answer
    x = 40,500.50

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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.