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Finding the Fourth Proportional to 41,530.56, 57,311.28 and 22,668

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Solution

The fourth proportional to 41,530.56, 57,311.28 and 22,668 is: 31,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,530.56 : 57,311.28 = 22,668 : x
  2. Step 2: Convert to fraction form
    41,530.56/57,311.28 = 22,668/x
  3. Step 3: Cross multiply
    41,530.56x = 57,311.28 × 22,668
  4. Step 4: Simplify right side
    41,530.56x = 1,299,132,095.04
  5. Step 5: Solve for x
    x = 1,299,132,095.04/41,530.56
  6. Step 6: Final answer
    x = 31,281.35

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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.