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Finding the Fourth Proportional to 53,496, 80,244 and 16,560

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Solution

The fourth proportional to 53,496, 80,244 and 16,560 is: 24,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,496 : 80,244 = 16,560 : x
  2. Step 2: Convert to fraction form
    53,496/80,244 = 16,560/x
  3. Step 3: Cross multiply
    53,496x = 80,244 × 16,560
  4. Step 4: Simplify right side
    53,496x = 1,328,840,640
  5. Step 5: Solve for x
    x = 1,328,840,640/53,496
  6. Step 6: Final answer
    x = 24,840

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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.