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Finding the Fourth Proportional to 53,524.40, 80,335.92 and 27,248

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Solution

The fourth proportional to 53,524.40, 80,335.92 and 27,248 is: 40,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,524.40 : 80,335.92 = 27,248 : x
  2. Step 2: Convert to fraction form
    53,524.40/80,335.92 = 27,248/x
  3. Step 3: Cross multiply
    53,524.40x = 80,335.92 × 27,248
  4. Step 4: Simplify right side
    53,524.40x = 2,188,993,148.16
  5. Step 5: Solve for x
    x = 2,188,993,148.16/53,524.40
  6. Step 6: Final answer
    x = 40,897.11

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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.