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Finding the Fourth Proportional to 40,642.68, 56,084.26 and 22,734.62

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Solution

The fourth proportional to 40,642.68, 56,084.26 and 22,734.62 is: 31,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,642.68 : 56,084.26 = 22,734.62 : x
  2. Step 2: Convert to fraction form
    40,642.68/56,084.26 = 22,734.62/x
  3. Step 3: Cross multiply
    40,642.68x = 56,084.26 × 22,734.62
  4. Step 4: Simplify right side
    40,642.68x = 1,275,054,339.08
  5. Step 5: Solve for x
    x = 1,275,054,339.08/40,642.68
  6. Step 6: Final answer
    x = 31,372.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.