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Finding the Fourth Proportional to 54,709.38, 75,498.96 and 29,558.88

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Solution

The fourth proportional to 54,709.38, 75,498.96 and 29,558.88 is: 40,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709.38 : 75,498.96 = 29,558.88 : x
  2. Step 2: Convert to fraction form
    54,709.38/75,498.96 = 29,558.88/x
  3. Step 3: Cross multiply
    54,709.38x = 75,498.96 × 29,558.88
  4. Step 4: Simplify right side
    54,709.38x = 2,231,664,698.76
  5. Step 5: Solve for x
    x = 2,231,664,698.76/54,709.38
  6. Step 6: Final answer
    x = 40,791.26

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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.