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Finding the Fourth Proportional to 70,835.45, 106,227.65 and 23,441.78

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Solution

The fourth proportional to 70,835.45, 106,227.65 and 23,441.78 is: 35,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,835.45 : 106,227.65 = 23,441.78 : x
  2. Step 2: Convert to fraction form
    70,835.45/106,227.65 = 23,441.78/x
  3. Step 3: Cross multiply
    70,835.45x = 106,227.65 × 23,441.78
  4. Step 4: Simplify right side
    70,835.45x = 2,490,164,552.87
  5. Step 5: Solve for x
    x = 2,490,164,552.87/70,835.45
  6. Step 6: Final answer
    x = 35,154.22

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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.