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Finding the Fourth Proportional to 101,782.14, 152,683.70 and 35,222.17

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Solution

The fourth proportional to 101,782.14, 152,683.70 and 35,222.17 is: 52,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.14 : 152,683.70 = 35,222.17 : x
  2. Step 2: Convert to fraction form
    101,782.14/152,683.70 = 35,222.17/x
  3. Step 3: Cross multiply
    101,782.14x = 152,683.70 × 35,222.17
  4. Step 4: Simplify right side
    101,782.14x = 5,377,850,586.20
  5. Step 5: Solve for x
    x = 5,377,850,586.20/101,782.14
  6. Step 6: Final answer
    x = 52,836.88

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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.