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Finding the Fourth Proportional to 43,256, 64,884 and 10,424

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Solution

The fourth proportional to 43,256, 64,884 and 10,424 is: 15,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,256 : 64,884 = 10,424 : x
  2. Step 2: Convert to fraction form
    43,256/64,884 = 10,424/x
  3. Step 3: Cross multiply
    43,256x = 64,884 × 10,424
  4. Step 4: Simplify right side
    43,256x = 676,350,816
  5. Step 5: Solve for x
    x = 676,350,816/43,256
  6. Step 6: Final answer
    x = 15,636

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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.