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Finding the Fourth Proportional to 71,019.81, 106,529.72 and 24,273.09

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Solution

The fourth proportional to 71,019.81, 106,529.72 and 24,273.09 is: 36,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,019.81 : 106,529.72 = 24,273.09 : x
  2. Step 2: Convert to fraction form
    71,019.81/106,529.72 = 24,273.09/x
  3. Step 3: Cross multiply
    71,019.81x = 106,529.72 × 24,273.09
  4. Step 4: Simplify right side
    71,019.81x = 2,585,805,359.87
  5. Step 5: Solve for x
    x = 2,585,805,359.87/71,019.81
  6. Step 6: Final answer
    x = 36,409.64

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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.