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Finding the Fourth Proportional to 39,512, 59,268 and 10,328

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Solution

The fourth proportional to 39,512, 59,268 and 10,328 is: 15,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,512 : 59,268 = 10,328 : x
  2. Step 2: Convert to fraction form
    39,512/59,268 = 10,328/x
  3. Step 3: Cross multiply
    39,512x = 59,268 × 10,328
  4. Step 4: Simplify right side
    39,512x = 612,119,904
  5. Step 5: Solve for x
    x = 612,119,904/39,512
  6. Step 6: Final answer
    x = 15,492

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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.