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Finding the Fourth Proportional to 41,019.70, 61,530.84 and 12,940

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Solution

The fourth proportional to 41,019.70, 61,530.84 and 12,940 is: 19,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,019.70 : 61,530.84 = 12,940 : x
  2. Step 2: Convert to fraction form
    41,019.70/61,530.84 = 12,940/x
  3. Step 3: Cross multiply
    41,019.70x = 61,530.84 × 12,940
  4. Step 4: Simplify right side
    41,019.70x = 796,209,069.60
  5. Step 5: Solve for x
    x = 796,209,069.60/41,019.70
  6. Step 6: Final answer
    x = 19,410.41

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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.