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Finding the Fourth Proportional to 49,529.44, 74,313.62 and 21,808

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Solution

The fourth proportional to 49,529.44, 74,313.62 and 21,808 is: 32,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529.44 : 74,313.62 = 21,808 : x
  2. Step 2: Convert to fraction form
    49,529.44/74,313.62 = 21,808/x
  3. Step 3: Cross multiply
    49,529.44x = 74,313.62 × 21,808
  4. Step 4: Simplify right side
    49,529.44x = 1,620,631,424.96
  5. Step 5: Solve for x
    x = 1,620,631,424.96/49,529.44
  6. Step 6: Final answer
    x = 32,720.57

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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.