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Finding the Fourth Proportional to 31,044.80, 46,562.47 and 11,323.37

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Solution

The fourth proportional to 31,044.80, 46,562.47 and 11,323.37 is: 16,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044.80 : 46,562.47 = 11,323.37 : x
  2. Step 2: Convert to fraction form
    31,044.80/46,562.47 = 11,323.37/x
  3. Step 3: Cross multiply
    31,044.80x = 46,562.47 × 11,323.37
  4. Step 4: Simplify right side
    31,044.80x = 527,244,164.02
  5. Step 5: Solve for x
    x = 527,244,164.02/31,044.80
  6. Step 6: Final answer
    x = 16,983.33

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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.