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Finding the Fourth Proportional to 32,446, 48,669 and 7,822

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Solution

The fourth proportional to 32,446, 48,669 and 7,822 is: 11,733

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446 : 48,669 = 7,822 : x
  2. Step 2: Convert to fraction form
    32,446/48,669 = 7,822/x
  3. Step 3: Cross multiply
    32,446x = 48,669 × 7,822
  4. Step 4: Simplify right side
    32,446x = 380,688,918
  5. Step 5: Solve for x
    x = 380,688,918/32,446
  6. Step 6: Final answer
    x = 11,733

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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.