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Finding the Fourth Proportional to 31,304.94, 46,678.19 and 27,827.61

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Solution

The fourth proportional to 31,304.94, 46,678.19 and 27,827.61 is: 41,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.94 : 46,678.19 = 27,827.61 : x
  2. Step 2: Convert to fraction form
    31,304.94/46,678.19 = 27,827.61/x
  3. Step 3: Cross multiply
    31,304.94x = 46,678.19 × 27,827.61
  4. Step 4: Simplify right side
    31,304.94x = 1,298,942,466.83
  5. Step 5: Solve for x
    x = 1,298,942,466.83/31,304.94
  6. Step 6: Final answer
    x = 41,493.21

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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.