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Finding the Fourth Proportional to 32,422.14, 44,742.54 and 17,518.14

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Solution

The fourth proportional to 32,422.14, 44,742.54 and 17,518.14 is: 24,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.14 : 44,742.54 = 17,518.14 : x
  2. Step 2: Convert to fraction form
    32,422.14/44,742.54 = 17,518.14/x
  3. Step 3: Cross multiply
    32,422.14x = 44,742.54 × 17,518.14
  4. Step 4: Simplify right side
    32,422.14x = 783,806,079.68
  5. Step 5: Solve for x
    x = 783,806,079.68/32,422.14
  6. Step 6: Final answer
    x = 24,175.03

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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.