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Finding the Fourth Proportional to 54,914, 75,781.59 and 29,763.50

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Solution

The fourth proportional to 54,914, 75,781.59 and 29,763.50 is: 41,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914 : 75,781.59 = 29,763.50 : x
  2. Step 2: Convert to fraction form
    54,914/75,781.59 = 29,763.50/x
  3. Step 3: Cross multiply
    54,914x = 75,781.59 × 29,763.50
  4. Step 4: Simplify right side
    54,914x = 2,255,525,353.97
  5. Step 5: Solve for x
    x = 2,255,525,353.97/54,914
  6. Step 6: Final answer
    x = 41,073.78

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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.