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Finding the Fourth Proportional to 32,188.40, 44,422.14 and 18,042.20

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Solution

The fourth proportional to 32,188.40, 44,422.14 and 18,042.20 is: 24,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.40 : 44,422.14 = 18,042.20 : x
  2. Step 2: Convert to fraction form
    32,188.40/44,422.14 = 18,042.20/x
  3. Step 3: Cross multiply
    32,188.40x = 44,422.14 × 18,042.20
  4. Step 4: Simplify right side
    32,188.40x = 801,473,134.31
  5. Step 5: Solve for x
    x = 801,473,134.31/32,188.40
  6. Step 6: Final answer
    x = 24,899.44

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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.