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Finding the Fourth Proportional to 31,058.29, 42,832.15 and 20,293.39

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Solution

The fourth proportional to 31,058.29, 42,832.15 and 20,293.39 is: 27,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,058.29 : 42,832.15 = 20,293.39 : x
  2. Step 2: Convert to fraction form
    31,058.29/42,832.15 = 20,293.39/x
  3. Step 3: Cross multiply
    31,058.29x = 42,832.15 × 20,293.39
  4. Step 4: Simplify right side
    31,058.29x = 869,209,524.49
  5. Step 5: Solve for x
    x = 869,209,524.49/31,058.29
  6. Step 6: Final answer
    x = 27,986.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.