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Finding the Fourth Proportional to 68,058.42, 102,067.13 and 32,501.40

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Solution

The fourth proportional to 68,058.42, 102,067.13 and 32,501.40 is: 48,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058.42 : 102,067.13 = 32,501.40 : x
  2. Step 2: Convert to fraction form
    68,058.42/102,067.13 = 32,501.40/x
  3. Step 3: Cross multiply
    68,058.42x = 102,067.13 × 32,501.40
  4. Step 4: Simplify right side
    68,058.42x = 3,317,324,317.48
  5. Step 5: Solve for x
    x = 3,317,324,317.48/68,058.42
  6. Step 6: Final answer
    x = 48,742.31

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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.