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Finding the Fourth Proportional to 43,043.84, 64,578.72 and 15,344

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Solution

The fourth proportional to 43,043.84, 64,578.72 and 15,344 is: 23,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,043.84 : 64,578.72 = 15,344 : x
  2. Step 2: Convert to fraction form
    43,043.84/64,578.72 = 15,344/x
  3. Step 3: Cross multiply
    43,043.84x = 64,578.72 × 15,344
  4. Step 4: Simplify right side
    43,043.84x = 990,895,879.68
  5. Step 5: Solve for x
    x = 990,895,879.68/43,043.84
  6. Step 6: Final answer
    x = 23,020.62

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Why These Related Problems?

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