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Finding the Fourth Proportional to 101,881.66, 152,805.72 and 27,006.46

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Solution

The fourth proportional to 101,881.66, 152,805.72 and 27,006.46 is: 40,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,881.66 : 152,805.72 = 27,006.46 : x
  2. Step 2: Convert to fraction form
    101,881.66/152,805.72 = 27,006.46/x
  3. Step 3: Cross multiply
    101,881.66x = 152,805.72 × 27,006.46
  4. Step 4: Simplify right side
    101,881.66x = 4,126,741,564.95
  5. Step 5: Solve for x
    x = 4,126,741,564.95/101,881.66
  6. Step 6: Final answer
    x = 40,505.24

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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.