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Finding the Fourth Proportional to 36,262.50, 54,396.18 and 9,969.90

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Solution

The fourth proportional to 36,262.50, 54,396.18 and 9,969.90 is: 14,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262.50 : 54,396.18 = 9,969.90 : x
  2. Step 2: Convert to fraction form
    36,262.50/54,396.18 = 9,969.90/x
  3. Step 3: Cross multiply
    36,262.50x = 54,396.18 × 9,969.90
  4. Step 4: Simplify right side
    36,262.50x = 542,324,474.98
  5. Step 5: Solve for x
    x = 542,324,474.98/36,262.50
  6. Step 6: Final answer
    x = 14,955.52

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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.