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Finding the Fourth Proportional to 32,424.50, 44,716.70 and 27,661.62

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Solution

The fourth proportional to 32,424.50, 44,716.70 and 27,661.62 is: 38,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.50 : 44,716.70 = 27,661.62 : x
  2. Step 2: Convert to fraction form
    32,424.50/44,716.70 = 27,661.62/x
  3. Step 3: Cross multiply
    32,424.50x = 44,716.70 × 27,661.62
  4. Step 4: Simplify right side
    32,424.50x = 1,236,936,224.75
  5. Step 5: Solve for x
    x = 1,236,936,224.75/32,424.50
  6. Step 6: Final answer
    x = 38,148.20

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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.