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Finding the Fourth Proportional to 57,463.90, 86,011.17 and 30,743.22

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Solution

The fourth proportional to 57,463.90, 86,011.17 and 30,743.22 is: 46,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,463.90 : 86,011.17 = 30,743.22 : x
  2. Step 2: Convert to fraction form
    57,463.90/86,011.17 = 30,743.22/x
  3. Step 3: Cross multiply
    57,463.90x = 86,011.17 × 30,743.22
  4. Step 4: Simplify right side
    57,463.90x = 2,644,260,321.77
  5. Step 5: Solve for x
    x = 2,644,260,321.77/57,463.90
  6. Step 6: Final answer
    x = 46,016.03

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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.