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Finding the Fourth Proportional to 54,920.90, 75,794.10 and 31,049.80

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Solution

The fourth proportional to 54,920.90, 75,794.10 and 31,049.80 is: 42,850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,920.90 : 75,794.10 = 31,049.80 : x
  2. Step 2: Convert to fraction form
    54,920.90/75,794.10 = 31,049.80/x
  3. Step 3: Cross multiply
    54,920.90x = 75,794.10 × 31,049.80
  4. Step 4: Simplify right side
    54,920.90x = 2,353,391,646.18
  5. Step 5: Solve for x
    x = 2,353,391,646.18/54,920.90
  6. Step 6: Final answer
    x = 42,850.57

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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.