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Finding the Fourth Proportional to 31,058.80, 46,595.42 and 8,872.48

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Solution

The fourth proportional to 31,058.80, 46,595.42 and 8,872.48 is: 13,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,058.80 : 46,595.42 = 8,872.48 : x
  2. Step 2: Convert to fraction form
    31,058.80/46,595.42 = 8,872.48/x
  3. Step 3: Cross multiply
    31,058.80x = 46,595.42 × 8,872.48
  4. Step 4: Simplify right side
    31,058.80x = 413,416,932.04
  5. Step 5: Solve for x
    x = 413,416,932.04/31,058.80
  6. Step 6: Final answer
    x = 13,310.78

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