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Finding the Fourth Proportional to 38,080.98, 52,535.21 and 22,965.24

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Solution

The fourth proportional to 38,080.98, 52,535.21 and 22,965.24 is: 31,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080.98 : 52,535.21 = 22,965.24 : x
  2. Step 2: Convert to fraction form
    38,080.98/52,535.21 = 22,965.24/x
  3. Step 3: Cross multiply
    38,080.98x = 52,535.21 × 22,965.24
  4. Step 4: Simplify right side
    38,080.98x = 1,206,483,706.10
  5. Step 5: Solve for x
    x = 1,206,483,706.10/38,080.98
  6. Step 6: Final answer
    x = 31,682.06

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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.