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Finding the Fourth Proportional to 32,102.20, 44,301.14 and 17,954.13

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Solution

The fourth proportional to 32,102.20, 44,301.14 and 17,954.13 is: 24,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.20 : 44,301.14 = 17,954.13 : x
  2. Step 2: Convert to fraction form
    32,102.20/44,301.14 = 17,954.13/x
  3. Step 3: Cross multiply
    32,102.20x = 44,301.14 × 17,954.13
  4. Step 4: Simplify right side
    32,102.20x = 795,388,426.71
  5. Step 5: Solve for x
    x = 795,388,426.71/32,102.20
  6. Step 6: Final answer
    x = 24,776.76

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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.