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Finding the Fourth Proportional to 27,531.76, 37,997.04 and 16,353.76

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Solution

The fourth proportional to 27,531.76, 37,997.04 and 16,353.76 is: 22,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531.76 : 37,997.04 = 16,353.76 : x
  2. Step 2: Convert to fraction form
    27,531.76/37,997.04 = 16,353.76/x
  3. Step 3: Cross multiply
    27,531.76x = 37,997.04 × 16,353.76
  4. Step 4: Simplify right side
    27,531.76x = 621,394,472.87
  5. Step 5: Solve for x
    x = 621,394,472.87/27,531.76
  6. Step 6: Final answer
    x = 22,570.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.