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Finding the Fourth Proportional to 32,424, 44,716 and 27,661.12

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Solution

The fourth proportional to 32,424, 44,716 and 27,661.12 is: 38,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424 : 44,716 = 27,661.12 : x
  2. Step 2: Convert to fraction form
    32,424/44,716 = 27,661.12/x
  3. Step 3: Cross multiply
    32,424x = 44,716 × 27,661.12
  4. Step 4: Simplify right side
    32,424x = 1,236,894,641.92
  5. Step 5: Solve for x
    x = 1,236,894,641.92/32,424
  6. Step 6: Final answer
    x = 38,147.50

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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.