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Finding the Fourth Proportional to 54,134.16, 81,207.84 and 22,958.88

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Solution

The fourth proportional to 54,134.16, 81,207.84 and 22,958.88 is: 34,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,134.16 : 81,207.84 = 22,958.88 : x
  2. Step 2: Convert to fraction form
    54,134.16/81,207.84 = 22,958.88/x
  3. Step 3: Cross multiply
    54,134.16x = 81,207.84 × 22,958.88
  4. Step 4: Simplify right side
    54,134.16x = 1,864,441,053.62
  5. Step 5: Solve for x
    x = 1,864,441,053.62/54,134.16
  6. Step 6: Final answer
    x = 34,441.12

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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.