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Finding the Fourth Proportional to 27,037.72, 40,561.26 and 12,050.17

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Solution

The fourth proportional to 27,037.72, 40,561.26 and 12,050.17 is: 18,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.72 : 40,561.26 = 12,050.17 : x
  2. Step 2: Convert to fraction form
    27,037.72/40,561.26 = 12,050.17/x
  3. Step 3: Cross multiply
    27,037.72x = 40,561.26 × 12,050.17
  4. Step 4: Simplify right side
    27,037.72x = 488,769,882.50
  5. Step 5: Solve for x
    x = 488,769,882.50/27,037.72
  6. Step 6: Final answer
    x = 18,077.33

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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.