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Finding the Fourth Proportional to 34,965.80, 48,314.18 and 27,950.12

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Solution

The fourth proportional to 34,965.80, 48,314.18 and 27,950.12 is: 38,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,965.80 : 48,314.18 = 27,950.12 : x
  2. Step 2: Convert to fraction form
    34,965.80/48,314.18 = 27,950.12/x
  3. Step 3: Cross multiply
    34,965.80x = 48,314.18 × 27,950.12
  4. Step 4: Simplify right side
    34,965.80x = 1,350,387,128.70
  5. Step 5: Solve for x
    x = 1,350,387,128.70/34,965.80
  6. Step 6: Final answer
    x = 38,620.23

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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.