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Finding the Fourth Proportional to 31,775.27, 43,849.28 and 17,627.81

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Solution

The fourth proportional to 31,775.27, 43,849.28 and 17,627.81 is: 24,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.27 : 43,849.28 = 17,627.81 : x
  2. Step 2: Convert to fraction form
    31,775.27/43,849.28 = 17,627.81/x
  3. Step 3: Cross multiply
    31,775.27x = 43,849.28 × 17,627.81
  4. Step 4: Simplify right side
    31,775.27x = 772,966,601.30
  5. Step 5: Solve for x
    x = 772,966,601.30/31,775.27
  6. Step 6: Final answer
    x = 24,326.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.