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Finding the Fourth Proportional to 31,102.94, 46,661.97 and 10,043.48

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Solution

The fourth proportional to 31,102.94, 46,661.97 and 10,043.48 is: 15,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.94 : 46,661.97 = 10,043.48 : x
  2. Step 2: Convert to fraction form
    31,102.94/46,661.97 = 10,043.48/x
  3. Step 3: Cross multiply
    31,102.94x = 46,661.97 × 10,043.48
  4. Step 4: Simplify right side
    31,102.94x = 468,648,562.46
  5. Step 5: Solve for x
    x = 468,648,562.46/31,102.94
  6. Step 6: Final answer
    x = 15,067.66

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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.