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Finding the Fourth Proportional to 32,021.31, 44,190.12 and 17,681.11

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Solution

The fourth proportional to 32,021.31, 44,190.12 and 17,681.11 is: 24,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.31 : 44,190.12 = 17,681.11 : x
  2. Step 2: Convert to fraction form
    32,021.31/44,190.12 = 17,681.11/x
  3. Step 3: Cross multiply
    32,021.31x = 44,190.12 × 17,681.11
  4. Step 4: Simplify right side
    32,021.31x = 781,330,229.01
  5. Step 5: Solve for x
    x = 781,330,229.01/32,021.31
  6. Step 6: Final answer
    x = 24,400.32

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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.