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Finding the Fourth Proportional to 26,731.91, 40,106.91 and 10,096.74

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Solution

The fourth proportional to 26,731.91, 40,106.91 and 10,096.74 is: 15,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,731.91 : 40,106.91 = 10,096.74 : x
  2. Step 2: Convert to fraction form
    26,731.91/40,106.91 = 10,096.74/x
  3. Step 3: Cross multiply
    26,731.91x = 40,106.91 × 10,096.74
  4. Step 4: Simplify right side
    26,731.91x = 404,949,042.47
  5. Step 5: Solve for x
    x = 404,949,042.47/26,731.91
  6. Step 6: Final answer
    x = 15,148.53

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1.5x scale

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.