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Finding the Fourth Proportional to 57,791.71, 86,662.94 and 22,706.75

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Solution

The fourth proportional to 57,791.71, 86,662.94 and 22,706.75 is: 34,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,791.71 : 86,662.94 = 22,706.75 : x
  2. Step 2: Convert to fraction form
    57,791.71/86,662.94 = 22,706.75/x
  3. Step 3: Cross multiply
    57,791.71x = 86,662.94 × 22,706.75
  4. Step 4: Simplify right side
    57,791.71x = 1,967,833,769.61
  5. Step 5: Solve for x
    x = 1,967,833,769.61/57,791.71
  6. Step 6: Final answer
    x = 34,050.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.