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Finding the Fourth Proportional to 32,658.14, 45,068.22 and 17,754.14

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Solution

The fourth proportional to 32,658.14, 45,068.22 and 17,754.14 is: 24,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.14 : 45,068.22 = 17,754.14 : x
  2. Step 2: Convert to fraction form
    32,658.14/45,068.22 = 17,754.14/x
  3. Step 3: Cross multiply
    32,658.14x = 45,068.22 × 17,754.14
  4. Step 4: Simplify right side
    32,658.14x = 800,147,487.43
  5. Step 5: Solve for x
    x = 800,147,487.43/32,658.14
  6. Step 6: Final answer
    x = 24,500.71

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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.