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Finding the Fourth Proportional to 101,538.75, 152,308.17 and 27,666.75

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Solution

The fourth proportional to 101,538.75, 152,308.17 and 27,666.75 is: 41,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538.75 : 152,308.17 = 27,666.75 : x
  2. Step 2: Convert to fraction form
    101,538.75/152,308.17 = 27,666.75/x
  3. Step 3: Cross multiply
    101,538.75x = 152,308.17 × 27,666.75
  4. Step 4: Simplify right side
    101,538.75x = 4,213,872,062.35
  5. Step 5: Solve for x
    x = 4,213,872,062.35/101,538.75
  6. Step 6: Final answer
    x = 41,500.14

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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.