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Finding the Fourth Proportional to 31,706.45, 43,713.41 and 27,277.77

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Solution

The fourth proportional to 31,706.45, 43,713.41 and 27,277.77 is: 37,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.45 : 43,713.41 = 27,277.77 : x
  2. Step 2: Convert to fraction form
    31,706.45/43,713.41 = 27,277.77/x
  3. Step 3: Cross multiply
    31,706.45x = 43,713.41 × 27,277.77
  4. Step 4: Simplify right side
    31,706.45x = 1,192,404,207.51
  5. Step 5: Solve for x
    x = 1,192,404,207.51/31,706.45
  6. Step 6: Final answer
    x = 37,607.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.