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Finding the Fourth Proportional to 70,791.11, 106,235.85 and 45,769.10

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Solution

The fourth proportional to 70,791.11, 106,235.85 and 45,769.10 is: 68,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,791.11 : 106,235.85 = 45,769.10 : x
  2. Step 2: Convert to fraction form
    70,791.11/106,235.85 = 45,769.10/x
  3. Step 3: Cross multiply
    70,791.11x = 106,235.85 × 45,769.10
  4. Step 4: Simplify right side
    70,791.11x = 4,862,319,242.24
  5. Step 5: Solve for x
    x = 4,862,319,242.24/70,791.11
  6. Step 6: Final answer
    x = 68,685.45

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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.