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Finding the Fourth Proportional to 36,441.76, 54,662.70 and 10,146.49

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Solution

The fourth proportional to 36,441.76, 54,662.70 and 10,146.49 is: 15,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,441.76 : 54,662.70 = 10,146.49 : x
  2. Step 2: Convert to fraction form
    36,441.76/54,662.70 = 10,146.49/x
  3. Step 3: Cross multiply
    36,441.76x = 54,662.70 × 10,146.49
  4. Step 4: Simplify right side
    36,441.76x = 554,634,538.92
  5. Step 5: Solve for x
    x = 554,634,538.92/36,441.76
  6. Step 6: Final answer
    x = 15,219.75

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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.