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Finding the Fourth Proportional to 68,452.80, 102,664.80 and 29,011.20

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Solution

The fourth proportional to 68,452.80, 102,664.80 and 29,011.20 is: 43,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.80 : 102,664.80 = 29,011.20 : x
  2. Step 2: Convert to fraction form
    68,452.80/102,664.80 = 29,011.20/x
  3. Step 3: Cross multiply
    68,452.80x = 102,664.80 × 29,011.20
  4. Step 4: Simplify right side
    68,452.80x = 2,978,429,045.76
  5. Step 5: Solve for x
    x = 2,978,429,045.76/68,452.80
  6. Step 6: Final answer
    x = 43,510.70

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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.