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Finding the Fourth Proportional to 32,778, 49,162.82 and 10,589.07

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Solution

The fourth proportional to 32,778, 49,162.82 and 10,589.07 is: 15,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778 : 49,162.82 = 10,589.07 : x
  2. Step 2: Convert to fraction form
    32,778/49,162.82 = 10,589.07/x
  3. Step 3: Cross multiply
    32,778x = 49,162.82 × 10,589.07
  4. Step 4: Simplify right side
    32,778x = 520,588,489.43
  5. Step 5: Solve for x
    x = 520,588,489.43/32,778
  6. Step 6: Final answer
    x = 15,882.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.