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Finding the Fourth Proportional to 49,236, 73,854 and 20,052

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Solution

The fourth proportional to 49,236, 73,854 and 20,052 is: 30,078

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236 : 73,854 = 20,052 : x
  2. Step 2: Convert to fraction form
    49,236/73,854 = 20,052/x
  3. Step 3: Cross multiply
    49,236x = 73,854 × 20,052
  4. Step 4: Simplify right side
    49,236x = 1,480,920,408
  5. Step 5: Solve for x
    x = 1,480,920,408/49,236
  6. Step 6: Final answer
    x = 30,078

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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.