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Finding the Fourth Proportional to 53,648.12, 80,472.20 and 16,715

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Solution

The fourth proportional to 53,648.12, 80,472.20 and 16,715 is: 25,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648.12 : 80,472.20 = 16,715 : x
  2. Step 2: Convert to fraction form
    53,648.12/80,472.20 = 16,715/x
  3. Step 3: Cross multiply
    53,648.12x = 80,472.20 × 16,715
  4. Step 4: Simplify right side
    53,648.12x = 1,345,092,823
  5. Step 5: Solve for x
    x = 1,345,092,823/53,648.12
  6. Step 6: Final answer
    x = 25,072.51

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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.