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Finding the Fourth Proportional to 70,882.63, 106,344.71 and 20,964.03

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Solution

The fourth proportional to 70,882.63, 106,344.71 and 20,964.03 is: 31,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.63 : 106,344.71 = 20,964.03 : x
  2. Step 2: Convert to fraction form
    70,882.63/106,344.71 = 20,964.03/x
  3. Step 3: Cross multiply
    70,882.63x = 106,344.71 × 20,964.03
  4. Step 4: Simplify right side
    70,882.63x = 2,229,413,054.24
  5. Step 5: Solve for x
    x = 2,229,413,054.24/70,882.63
  6. Step 6: Final answer
    x = 31,452.18

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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.