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Finding the Fourth Proportional to 32,014.68, 44,179.92 and 17,871

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Solution

The fourth proportional to 32,014.68, 44,179.92 and 17,871 is: 24,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.68 : 44,179.92 = 17,871 : x
  2. Step 2: Convert to fraction form
    32,014.68/44,179.92 = 17,871/x
  3. Step 3: Cross multiply
    32,014.68x = 44,179.92 × 17,871
  4. Step 4: Simplify right side
    32,014.68x = 789,539,350.32
  5. Step 5: Solve for x
    x = 789,539,350.32/32,014.68
  6. Step 6: Final answer
    x = 24,661.79

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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.