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Finding the Fourth Proportional to 29,520, 44,280 and 7,632

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Solution

The fourth proportional to 29,520, 44,280 and 7,632 is: 11,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,520 : 44,280 = 7,632 : x
  2. Step 2: Convert to fraction form
    29,520/44,280 = 7,632/x
  3. Step 3: Cross multiply
    29,520x = 44,280 × 7,632
  4. Step 4: Simplify right side
    29,520x = 337,944,960
  5. Step 5: Solve for x
    x = 337,944,960/29,520
  6. Step 6: Final answer
    x = 11,448

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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.