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Finding the Fourth Proportional to 27,023.80, 40,535.70 and 24,431.80

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Solution

The fourth proportional to 27,023.80, 40,535.70 and 24,431.80 is: 36,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023.80 : 40,535.70 = 24,431.80 : x
  2. Step 2: Convert to fraction form
    27,023.80/40,535.70 = 24,431.80/x
  3. Step 3: Cross multiply
    27,023.80x = 40,535.70 × 24,431.80
  4. Step 4: Simplify right side
    27,023.80x = 990,360,115.26
  5. Step 5: Solve for x
    x = 990,360,115.26/27,023.80
  6. Step 6: Final answer
    x = 36,647.70

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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.