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Finding the Fourth Proportional to 47,891.78, 71,831.73 and 12,833.90

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Solution

The fourth proportional to 47,891.78, 71,831.73 and 12,833.90 is: 19,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891.78 : 71,831.73 = 12,833.90 : x
  2. Step 2: Convert to fraction form
    47,891.78/71,831.73 = 12,833.90/x
  3. Step 3: Cross multiply
    47,891.78x = 71,831.73 × 12,833.90
  4. Step 4: Simplify right side
    47,891.78x = 921,881,239.65
  5. Step 5: Solve for x
    x = 921,881,239.65/47,891.78
  6. Step 6: Final answer
    x = 19,249.26

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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.