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Finding the Fourth Proportional to 70,690.87, 106,036.33 and 33,223.43

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Solution

The fourth proportional to 70,690.87, 106,036.33 and 33,223.43 is: 49,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,690.87 : 106,036.33 = 33,223.43 : x
  2. Step 2: Convert to fraction form
    70,690.87/106,036.33 = 33,223.43/x
  3. Step 3: Cross multiply
    70,690.87x = 106,036.33 × 33,223.43
  4. Step 4: Simplify right side
    70,690.87x = 3,522,890,421.09
  5. Step 5: Solve for x
    x = 3,522,890,421.09/70,690.87
  6. Step 6: Final answer
    x = 49,835.15

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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.