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Finding the Fourth Proportional to 31,053.65, 46,580.52 and 11,327.61

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Solution

The fourth proportional to 31,053.65, 46,580.52 and 11,327.61 is: 16,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,053.65 : 46,580.52 = 11,327.61 : x
  2. Step 2: Convert to fraction form
    31,053.65/46,580.52 = 11,327.61/x
  3. Step 3: Cross multiply
    31,053.65x = 46,580.52 × 11,327.61
  4. Step 4: Simplify right side
    31,053.65x = 527,646,181.31
  5. Step 5: Solve for x
    x = 527,646,181.31/31,053.65
  6. Step 6: Final answer
    x = 16,991.44

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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.