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Finding the Fourth Proportional to 54,967, 75,845.82 and 31,086.04

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Solution

The fourth proportional to 54,967, 75,845.82 and 31,086.04 is: 42,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967 : 75,845.82 = 31,086.04 : x
  2. Step 2: Convert to fraction form
    54,967/75,845.82 = 31,086.04/x
  3. Step 3: Cross multiply
    54,967x = 75,845.82 × 31,086.04
  4. Step 4: Simplify right side
    54,967x = 2,357,746,194.35
  5. Step 5: Solve for x
    x = 2,357,746,194.35/54,967
  6. Step 6: Final answer
    x = 42,893.85

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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.