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Finding the Fourth Proportional to 68,651.20, 102,692.46 and 64,452.16

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Solution

The fourth proportional to 68,651.20, 102,692.46 and 64,452.16 is: 96,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,651.20 : 102,692.46 = 64,452.16 : x
  2. Step 2: Convert to fraction form
    68,651.20/102,692.46 = 64,452.16/x
  3. Step 3: Cross multiply
    68,651.20x = 102,692.46 × 64,452.16
  4. Step 4: Simplify right side
    68,651.20x = 6,618,750,862.71
  5. Step 5: Solve for x
    x = 6,618,750,862.71/68,651.20
  6. Step 6: Final answer
    x = 96,411.29

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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.