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Finding the Fourth Proportional to 27,775.68, 38,330.34 and 15,028.90

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Solution

The fourth proportional to 27,775.68, 38,330.34 and 15,028.90 is: 20,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.68 : 38,330.34 = 15,028.90 : x
  2. Step 2: Convert to fraction form
    27,775.68/38,330.34 = 15,028.90/x
  3. Step 3: Cross multiply
    27,775.68x = 38,330.34 × 15,028.90
  4. Step 4: Simplify right side
    27,775.68x = 576,062,846.83
  5. Step 5: Solve for x
    x = 576,062,846.83/27,775.68
  6. Step 6: Final answer
    x = 20,739.83

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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.