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Finding the Fourth Proportional to 68,282.88, 102,353.94 and 26,151.46

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Solution

The fourth proportional to 68,282.88, 102,353.94 and 26,151.46 is: 39,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282.88 : 102,353.94 = 26,151.46 : x
  2. Step 2: Convert to fraction form
    68,282.88/102,353.94 = 26,151.46/x
  3. Step 3: Cross multiply
    68,282.88x = 102,353.94 × 26,151.46
  4. Step 4: Simplify right side
    68,282.88x = 2,676,704,967.75
  5. Step 5: Solve for x
    x = 2,676,704,967.75/68,282.88
  6. Step 6: Final answer
    x = 39,200.24

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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.