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Finding the Fourth Proportional to 36,202.40, 54,319.80 and 16,470.80

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Solution

The fourth proportional to 36,202.40, 54,319.80 and 16,470.80 is: 24,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202.40 : 54,319.80 = 16,470.80 : x
  2. Step 2: Convert to fraction form
    36,202.40/54,319.80 = 16,470.80/x
  3. Step 3: Cross multiply
    36,202.40x = 54,319.80 × 16,470.80
  4. Step 4: Simplify right side
    36,202.40x = 894,690,561.84
  5. Step 5: Solve for x
    x = 894,690,561.84/36,202.40
  6. Step 6: Final answer
    x = 24,713.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.