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Finding the Fourth Proportional to 101,925.14, 152,872.86 and 27,049.82

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Solution

The fourth proportional to 101,925.14, 152,872.86 and 27,049.82 is: 40,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,925.14 : 152,872.86 = 27,049.82 : x
  2. Step 2: Convert to fraction form
    101,925.14/152,872.86 = 27,049.82/x
  3. Step 3: Cross multiply
    101,925.14x = 152,872.86 × 27,049.82
  4. Step 4: Simplify right side
    101,925.14x = 4,135,183,345.89
  5. Step 5: Solve for x
    x = 4,135,183,345.89/101,925.14
  6. Step 6: Final answer
    x = 40,570.79

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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.