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Finding the Fourth Proportional to 31,292.46, 46,659.54 and 27,815.13

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Solution

The fourth proportional to 31,292.46, 46,659.54 and 27,815.13 is: 41,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.46 : 46,659.54 = 27,815.13 : x
  2. Step 2: Convert to fraction form
    31,292.46/46,659.54 = 27,815.13/x
  3. Step 3: Cross multiply
    31,292.46x = 46,659.54 × 27,815.13
  4. Step 4: Simplify right side
    31,292.46x = 1,297,841,170.84
  5. Step 5: Solve for x
    x = 1,297,841,170.84/31,292.46
  6. Step 6: Final answer
    x = 41,474.57

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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.