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Finding the Fourth Proportional to 148,350.96, 222,524.40 and 36,032

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Solution

The fourth proportional to 148,350.96, 222,524.40 and 36,032 is: 54,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,350.96 : 222,524.40 = 36,032 : x
  2. Step 2: Convert to fraction form
    148,350.96/222,524.40 = 36,032/x
  3. Step 3: Cross multiply
    148,350.96x = 222,524.40 × 36,032
  4. Step 4: Simplify right side
    148,350.96x = 8,017,999,180.80
  5. Step 5: Solve for x
    x = 8,017,999,180.80/148,350.96
  6. Step 6: Final answer
    x = 54,047.50

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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.