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Finding the Fourth Proportional to 39,856, 55,002.74 and 24,757

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Solution

The fourth proportional to 39,856, 55,002.74 and 24,757 is: 34,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856 : 55,002.74 = 24,757 : x
  2. Step 2: Convert to fraction form
    39,856/55,002.74 = 24,757/x
  3. Step 3: Cross multiply
    39,856x = 55,002.74 × 24,757
  4. Step 4: Simplify right side
    39,856x = 1,361,702,834.18
  5. Step 5: Solve for x
    x = 1,361,702,834.18/39,856
  6. Step 6: Final answer
    x = 34,165.57

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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.