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Finding the Fourth Proportional to 68,435.44, 102,658.92 and 24,058.32

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Solution

The fourth proportional to 68,435.44, 102,658.92 and 24,058.32 is: 36,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,435.44 : 102,658.92 = 24,058.32 : x
  2. Step 2: Convert to fraction form
    68,435.44/102,658.92 = 24,058.32/x
  3. Step 3: Cross multiply
    68,435.44x = 102,658.92 × 24,058.32
  4. Step 4: Simplify right side
    68,435.44x = 2,469,801,148.21
  5. Step 5: Solve for x
    x = 2,469,801,148.21/68,435.44
  6. Step 6: Final answer
    x = 36,089.50

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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.