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Finding the Fourth Proportional to 32,304, 48,456 and 10,416

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Solution

The fourth proportional to 32,304, 48,456 and 10,416 is: 15,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304 : 48,456 = 10,416 : x
  2. Step 2: Convert to fraction form
    32,304/48,456 = 10,416/x
  3. Step 3: Cross multiply
    32,304x = 48,456 × 10,416
  4. Step 4: Simplify right side
    32,304x = 504,717,696
  5. Step 5: Solve for x
    x = 504,717,696/32,304
  6. Step 6: Final answer
    x = 15,624

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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.