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Finding the Fourth Proportional to 54,952.40, 75,834.40 and 29,801.92

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Solution

The fourth proportional to 54,952.40, 75,834.40 and 29,801.92 is: 41,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,952.40 : 75,834.40 = 29,801.92 : x
  2. Step 2: Convert to fraction form
    54,952.40/75,834.40 = 29,801.92/x
  3. Step 3: Cross multiply
    54,952.40x = 75,834.40 × 29,801.92
  4. Step 4: Simplify right side
    54,952.40x = 2,260,010,722.05
  5. Step 5: Solve for x
    x = 2,260,010,722.05/54,952.40
  6. Step 6: Final answer
    x = 41,126.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.