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Finding the Fourth Proportional to 125,631, 188,446.50 and 32,136.75

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Solution

The fourth proportional to 125,631, 188,446.50 and 32,136.75 is: 48,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,631 : 188,446.50 = 32,136.75 : x
  2. Step 2: Convert to fraction form
    125,631/188,446.50 = 32,136.75/x
  3. Step 3: Cross multiply
    125,631x = 188,446.50 × 32,136.75
  4. Step 4: Simplify right side
    125,631x = 6,056,058,058.88
  5. Step 5: Solve for x
    x = 6,056,058,058.88/125,631
  6. Step 6: Final answer
    x = 48,205.13

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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.