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Finding the Fourth Proportional to 68,452.80, 102,568.80 and 38,782.40

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Solution

The fourth proportional to 68,452.80, 102,568.80 and 38,782.40 is: 58,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.80 : 102,568.80 = 38,782.40 : x
  2. Step 2: Convert to fraction form
    68,452.80/102,568.80 = 38,782.40/x
  3. Step 3: Cross multiply
    68,452.80x = 102,568.80 × 38,782.40
  4. Step 4: Simplify right side
    68,452.80x = 3,977,864,229.12
  5. Step 5: Solve for x
    x = 3,977,864,229.12/68,452.80
  6. Step 6: Final answer
    x = 58,111.05

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Why These Related Problems?

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