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Finding the Fourth Proportional to 40,994.48, 61,478.72 and 13,286

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Solution

The fourth proportional to 40,994.48, 61,478.72 and 13,286 is: 19,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,994.48 : 61,478.72 = 13,286 : x
  2. Step 2: Convert to fraction form
    40,994.48/61,478.72 = 13,286/x
  3. Step 3: Cross multiply
    40,994.48x = 61,478.72 × 13,286
  4. Step 4: Simplify right side
    40,994.48x = 816,806,273.92
  5. Step 5: Solve for x
    x = 816,806,273.92/40,994.48
  6. Step 6: Final answer
    x = 19,924.79

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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.