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Finding the Fourth Proportional to 31,151.89, 46,489.44 and 27,827.65

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Solution

The fourth proportional to 31,151.89, 46,489.44 and 27,827.65 is: 41,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.89 : 46,489.44 = 27,827.65 : x
  2. Step 2: Convert to fraction form
    31,151.89/46,489.44 = 27,827.65/x
  3. Step 3: Cross multiply
    31,151.89x = 46,489.44 × 27,827.65
  4. Step 4: Simplify right side
    31,151.89x = 1,293,692,027.48
  5. Step 5: Solve for x
    x = 1,293,692,027.48/31,151.89
  6. Step 6: Final answer
    x = 41,528.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.