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Finding the Fourth Proportional to 51,564.52, 71,171.94 and 31,681

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Solution

The fourth proportional to 51,564.52, 71,171.94 and 31,681 is: 43,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,564.52 : 71,171.94 = 31,681 : x
  2. Step 2: Convert to fraction form
    51,564.52/71,171.94 = 31,681/x
  3. Step 3: Cross multiply
    51,564.52x = 71,171.94 × 31,681
  4. Step 4: Simplify right side
    51,564.52x = 2,254,798,231.14
  5. Step 5: Solve for x
    x = 2,254,798,231.14/51,564.52
  6. Step 6: Final answer
    x = 43,727.71

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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.