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Finding the Fourth Proportional to 70,817.18, 106,201.02 and 20,884.02

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Solution

The fourth proportional to 70,817.18, 106,201.02 and 20,884.02 is: 31,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.18 : 106,201.02 = 20,884.02 : x
  2. Step 2: Convert to fraction form
    70,817.18/106,201.02 = 20,884.02/x
  3. Step 3: Cross multiply
    70,817.18x = 106,201.02 × 20,884.02
  4. Step 4: Simplify right side
    70,817.18x = 2,217,904,225.70
  5. Step 5: Solve for x
    x = 2,217,904,225.70/70,817.18
  6. Step 6: Final answer
    x = 31,318.73

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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.