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Finding the Fourth Proportional to 31,057.80, 46,593.92 and 8,871.48

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Solution

The fourth proportional to 31,057.80, 46,593.92 and 8,871.48 is: 13,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,057.80 : 46,593.92 = 8,871.48 : x
  2. Step 2: Convert to fraction form
    31,057.80/46,593.92 = 8,871.48/x
  3. Step 3: Cross multiply
    31,057.80x = 46,593.92 × 8,871.48
  4. Step 4: Simplify right side
    31,057.80x = 413,357,029.40
  5. Step 5: Solve for x
    x = 413,357,029.40/31,057.80
  6. Step 6: Final answer
    x = 13,309.28

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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.