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Finding the Fourth Proportional to 32,029.81, 44,201.13 and 17,882.65

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Solution

The fourth proportional to 32,029.81, 44,201.13 and 17,882.65 is: 24,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,029.81 : 44,201.13 = 17,882.65 : x
  2. Step 2: Convert to fraction form
    32,029.81/44,201.13 = 17,882.65/x
  3. Step 3: Cross multiply
    32,029.81x = 44,201.13 × 17,882.65
  4. Step 4: Simplify right side
    32,029.81x = 790,433,337.39
  5. Step 5: Solve for x
    x = 790,433,337.39/32,029.81
  6. Step 6: Final answer
    x = 24,678.05

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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.