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Finding the Fourth Proportional to 27,256, 40,645.46 and 27,006.88

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Solution

The fourth proportional to 27,256, 40,645.46 and 27,006.88 is: 40,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256 : 40,645.46 = 27,006.88 : x
  2. Step 2: Convert to fraction form
    27,256/40,645.46 = 27,006.88/x
  3. Step 3: Cross multiply
    27,256x = 40,645.46 × 27,006.88
  4. Step 4: Simplify right side
    27,256x = 1,097,707,060.76
  5. Step 5: Solve for x
    x = 1,097,707,060.76/27,256
  6. Step 6: Final answer
    x = 40,273.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.