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Finding the Fourth Proportional to 32,065.20, 44,256.06 and 21,144.12

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Solution

The fourth proportional to 32,065.20, 44,256.06 and 21,144.12 is: 29,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.20 : 44,256.06 = 21,144.12 : x
  2. Step 2: Convert to fraction form
    32,065.20/44,256.06 = 21,144.12/x
  3. Step 3: Cross multiply
    32,065.20x = 44,256.06 × 21,144.12
  4. Step 4: Simplify right side
    32,065.20x = 935,755,443.37
  5. Step 5: Solve for x
    x = 935,755,443.37/32,065.20
  6. Step 6: Final answer
    x = 29,182.90

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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.