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Finding the Fourth Proportional to 59,652, 89,478 and 15,876

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Solution

The fourth proportional to 59,652, 89,478 and 15,876 is: 23,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,652 : 89,478 = 15,876 : x
  2. Step 2: Convert to fraction form
    59,652/89,478 = 15,876/x
  3. Step 3: Cross multiply
    59,652x = 89,478 × 15,876
  4. Step 4: Simplify right side
    59,652x = 1,420,552,728
  5. Step 5: Solve for x
    x = 1,420,552,728/59,652
  6. Step 6: Final answer
    x = 23,814

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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.