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Finding the Fourth Proportional to 32,144.74, 44,314.09 and 23,631.84

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Solution

The fourth proportional to 32,144.74, 44,314.09 and 23,631.84 is: 32,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.74 : 44,314.09 = 23,631.84 : x
  2. Step 2: Convert to fraction form
    32,144.74/44,314.09 = 23,631.84/x
  3. Step 3: Cross multiply
    32,144.74x = 44,314.09 × 23,631.84
  4. Step 4: Simplify right side
    32,144.74x = 1,047,223,425.55
  5. Step 5: Solve for x
    x = 1,047,223,425.55/32,144.74
  6. Step 6: Final answer
    x = 32,578.38

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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.