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Finding the Fourth Proportional to 87,580.53, 120,854.25 and 49,338

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Solution

The fourth proportional to 87,580.53, 120,854.25 and 49,338 is: 68,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,580.53 : 120,854.25 = 49,338 : x
  2. Step 2: Convert to fraction form
    87,580.53/120,854.25 = 49,338/x
  3. Step 3: Cross multiply
    87,580.53x = 120,854.25 × 49,338
  4. Step 4: Simplify right side
    87,580.53x = 5,962,706,986.50
  5. Step 5: Solve for x
    x = 5,962,706,986.50/87,580.53
  6. Step 6: Final answer
    x = 68,082.56

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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.