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Finding the Fourth Proportional to 47,708.06, 65,849.09 and 27,576.65

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Solution

The fourth proportional to 47,708.06, 65,849.09 and 27,576.65 is: 38,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,708.06 : 65,849.09 = 27,576.65 : x
  2. Step 2: Convert to fraction form
    47,708.06/65,849.09 = 27,576.65/x
  3. Step 3: Cross multiply
    47,708.06x = 65,849.09 × 27,576.65
  4. Step 4: Simplify right side
    47,708.06x = 1,815,897,334.49
  5. Step 5: Solve for x
    x = 1,815,897,334.49/47,708.06
  6. Step 6: Final answer
    x = 38,062.70

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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.