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Finding the Fourth Proportional to 31,686.94, 43,732.47 and 20,046.16

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Solution

The fourth proportional to 31,686.94, 43,732.47 and 20,046.16 is: 27,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.94 : 43,732.47 = 20,046.16 : x
  2. Step 2: Convert to fraction form
    31,686.94/43,732.47 = 20,046.16/x
  3. Step 3: Cross multiply
    31,686.94x = 43,732.47 × 20,046.16
  4. Step 4: Simplify right side
    31,686.94x = 876,668,090.82
  5. Step 5: Solve for x
    x = 876,668,090.82/31,686.94
  6. Step 6: Final answer
    x = 27,666.54

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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.