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Finding the Fourth Proportional to 51,019.84, 70,408.68 and 28,049.38

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Solution

The fourth proportional to 51,019.84, 70,408.68 and 28,049.38 is: 38,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,019.84 : 70,408.68 = 28,049.38 : x
  2. Step 2: Convert to fraction form
    51,019.84/70,408.68 = 28,049.38/x
  3. Step 3: Cross multiply
    51,019.84x = 70,408.68 × 28,049.38
  4. Step 4: Simplify right side
    51,019.84x = 1,974,919,820.62
  5. Step 5: Solve for x
    x = 1,974,919,820.62/51,019.84
  6. Step 6: Final answer
    x = 38,708.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.