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Finding the Fourth Proportional to 27,037.25, 37,040.42 and 26,026.47

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Solution

The fourth proportional to 27,037.25, 37,040.42 and 26,026.47 is: 35,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.25 : 37,040.42 = 26,026.47 : x
  2. Step 2: Convert to fraction form
    27,037.25/37,040.42 = 26,026.47/x
  3. Step 3: Cross multiply
    27,037.25x = 37,040.42 × 26,026.47
  4. Step 4: Simplify right side
    27,037.25x = 964,031,249.79
  5. Step 5: Solve for x
    x = 964,031,249.79/27,037.25
  6. Step 6: Final answer
    x = 35,655.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.