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Finding the Fourth Proportional to 30,972.56, 42,743.22 and 17,544.20

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Solution

The fourth proportional to 30,972.56, 42,743.22 and 17,544.20 is: 24,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972.56 : 42,743.22 = 17,544.20 : x
  2. Step 2: Convert to fraction form
    30,972.56/42,743.22 = 17,544.20/x
  3. Step 3: Cross multiply
    30,972.56x = 42,743.22 × 17,544.20
  4. Step 4: Simplify right side
    30,972.56x = 749,895,600.32
  5. Step 5: Solve for x
    x = 749,895,600.32/30,972.56
  6. Step 6: Final answer
    x = 24,211.61

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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.