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Finding the Fourth Proportional to 30,961.32, 42,727.13 and 17,532.22

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Solution

The fourth proportional to 30,961.32, 42,727.13 and 17,532.22 is: 24,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.32 : 42,727.13 = 17,532.22 : x
  2. Step 2: Convert to fraction form
    30,961.32/42,727.13 = 17,532.22/x
  3. Step 3: Cross multiply
    30,961.32x = 42,727.13 × 17,532.22
  4. Step 4: Simplify right side
    30,961.32x = 749,101,443.13
  5. Step 5: Solve for x
    x = 749,101,443.13/30,961.32
  6. Step 6: Final answer
    x = 24,194.75

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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.