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Finding the Fourth Proportional to 31,833.27, 47,710.62 and 13,101.62

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Solution

The fourth proportional to 31,833.27, 47,710.62 and 13,101.62 is: 19,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.27 : 47,710.62 = 13,101.62 : x
  2. Step 2: Convert to fraction form
    31,833.27/47,710.62 = 13,101.62/x
  3. Step 3: Cross multiply
    31,833.27x = 47,710.62 × 13,101.62
  4. Step 4: Simplify right side
    31,833.27x = 625,086,174.65
  5. Step 5: Solve for x
    x = 625,086,174.65/31,833.27
  6. Step 6: Final answer
    x = 19,636.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.