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Finding the Fourth Proportional to 43,310.63, 64,965.94 and 10,478.63

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Solution

The fourth proportional to 43,310.63, 64,965.94 and 10,478.63 is: 15,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,310.63 : 64,965.94 = 10,478.63 : x
  2. Step 2: Convert to fraction form
    43,310.63/64,965.94 = 10,478.63/x
  3. Step 3: Cross multiply
    43,310.63x = 64,965.94 × 10,478.63
  4. Step 4: Simplify right side
    43,310.63x = 680,753,723.03
  5. Step 5: Solve for x
    x = 680,753,723.03/43,310.63
  6. Step 6: Final answer
    x = 15,717.94

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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.