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Finding the Fourth Proportional to 24,760.32, 34,129.92 and 24,268.80

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Solution

The fourth proportional to 24,760.32, 34,129.92 and 24,268.80 is: 33,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.32 : 34,129.92 = 24,268.80 : x
  2. Step 2: Convert to fraction form
    24,760.32/34,129.92 = 24,268.80/x
  3. Step 3: Cross multiply
    24,760.32x = 34,129.92 × 24,268.80
  4. Step 4: Simplify right side
    24,760.32x = 828,292,202.50
  5. Step 5: Solve for x
    x = 828,292,202.50/24,760.32
  6. Step 6: Final answer
    x = 33,452.40

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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.