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Finding the Fourth Proportional to 27,293.97, 40,932.24 and 10,649.95

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Solution

The fourth proportional to 27,293.97, 40,932.24 and 10,649.95 is: 15,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293.97 : 40,932.24 = 10,649.95 : x
  2. Step 2: Convert to fraction form
    27,293.97/40,932.24 = 10,649.95/x
  3. Step 3: Cross multiply
    27,293.97x = 40,932.24 × 10,649.95
  4. Step 4: Simplify right side
    27,293.97x = 435,926,309.39
  5. Step 5: Solve for x
    x = 435,926,309.39/27,293.97
  6. Step 6: Final answer
    x = 15,971.52

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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.