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Finding the Fourth Proportional to 32,591.78, 44,976.66 and 17,687.78

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Solution

The fourth proportional to 32,591.78, 44,976.66 and 17,687.78 is: 24,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,591.78 : 44,976.66 = 17,687.78 : x
  2. Step 2: Convert to fraction form
    32,591.78/44,976.66 = 17,687.78/x
  3. Step 3: Cross multiply
    32,591.78x = 44,976.66 × 17,687.78
  4. Step 4: Simplify right side
    32,591.78x = 795,537,311.43
  5. Step 5: Solve for x
    x = 795,537,311.43/32,591.78
  6. Step 6: Final answer
    x = 24,409.14

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Why These Related Problems?

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