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Finding the Fourth Proportional to 27,488.68, 41,281.50 and 20,470.60

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Solution

The fourth proportional to 27,488.68, 41,281.50 and 20,470.60 is: 30,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.68 : 41,281.50 = 20,470.60 : x
  2. Step 2: Convert to fraction form
    27,488.68/41,281.50 = 20,470.60/x
  3. Step 3: Cross multiply
    27,488.68x = 41,281.50 × 20,470.60
  4. Step 4: Simplify right side
    27,488.68x = 845,057,073.90
  5. Step 5: Solve for x
    x = 845,057,073.90/27,488.68
  6. Step 6: Final answer
    x = 30,742.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.