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Finding the Fourth Proportional to 54,909, 75,774.42 and 29,758.50

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Solution

The fourth proportional to 54,909, 75,774.42 and 29,758.50 is: 41,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909 : 75,774.42 = 29,758.50 : x
  2. Step 2: Convert to fraction form
    54,909/75,774.42 = 29,758.50/x
  3. Step 3: Cross multiply
    54,909x = 75,774.42 × 29,758.50
  4. Step 4: Simplify right side
    54,909x = 2,254,933,077.57
  5. Step 5: Solve for x
    x = 2,254,933,077.57/54,909
  6. Step 6: Final answer
    x = 41,066.73

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