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Finding the Fourth Proportional to 32,077.14, 44,262.62 and 17,735.04

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Solution

The fourth proportional to 32,077.14, 44,262.62 and 17,735.04 is: 24,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.14 : 44,262.62 = 17,735.04 : x
  2. Step 2: Convert to fraction form
    32,077.14/44,262.62 = 17,735.04/x
  3. Step 3: Cross multiply
    32,077.14x = 44,262.62 × 17,735.04
  4. Step 4: Simplify right side
    32,077.14x = 784,999,336.20
  5. Step 5: Solve for x
    x = 784,999,336.20/32,077.14
  6. Step 6: Final answer
    x = 24,472.24

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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.