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Finding the Fourth Proportional to 31,184, 43,034.87 and 17,037.76

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Solution

The fourth proportional to 31,184, 43,034.87 and 17,037.76 is: 23,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184 : 43,034.87 = 17,037.76 : x
  2. Step 2: Convert to fraction form
    31,184/43,034.87 = 17,037.76/x
  3. Step 3: Cross multiply
    31,184x = 43,034.87 × 17,037.76
  4. Step 4: Simplify right side
    31,184x = 733,217,786.69
  5. Step 5: Solve for x
    x = 733,217,786.69/31,184
  6. Step 6: Final answer
    x = 23,512.63

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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.