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Finding the Fourth Proportional to 70,793.82, 106,205.31 and 59,188.14

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Solution

The fourth proportional to 70,793.82, 106,205.31 and 59,188.14 is: 88,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,793.82 : 106,205.31 = 59,188.14 : x
  2. Step 2: Convert to fraction form
    70,793.82/106,205.31 = 59,188.14/x
  3. Step 3: Cross multiply
    70,793.82x = 106,205.31 × 59,188.14
  4. Step 4: Simplify right side
    70,793.82x = 6,286,094,757.02
  5. Step 5: Solve for x
    x = 6,286,094,757.02/70,793.82
  6. Step 6: Final answer
    x = 88,794.40

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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.