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Finding the Fourth Proportional to 53,280, 79,920 and 16,344

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Solution

The fourth proportional to 53,280, 79,920 and 16,344 is: 24,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,280 : 79,920 = 16,344 : x
  2. Step 2: Convert to fraction form
    53,280/79,920 = 16,344/x
  3. Step 3: Cross multiply
    53,280x = 79,920 × 16,344
  4. Step 4: Simplify right side
    53,280x = 1,306,212,480
  5. Step 5: Solve for x
    x = 1,306,212,480/53,280
  6. Step 6: Final answer
    x = 24,516

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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.