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Finding the Fourth Proportional to 68,291.76, 102,433.68 and 25,589.04

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Solution

The fourth proportional to 68,291.76, 102,433.68 and 25,589.04 is: 38,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,291.76 : 102,433.68 = 25,589.04 : x
  2. Step 2: Convert to fraction form
    68,291.76/102,433.68 = 25,589.04/x
  3. Step 3: Cross multiply
    68,291.76x = 102,433.68 × 25,589.04
  4. Step 4: Simplify right side
    68,291.76x = 2,621,179,534.87
  5. Step 5: Solve for x
    x = 2,621,179,534.87/68,291.76
  6. Step 6: Final answer
    x = 38,382.08

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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.