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Finding the Fourth Proportional to 101,847.17, 152,771.90 and 30,770.39

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Solution

The fourth proportional to 101,847.17, 152,771.90 and 30,770.39 is: 46,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,847.17 : 152,771.90 = 30,770.39 : x
  2. Step 2: Convert to fraction form
    101,847.17/152,771.90 = 30,770.39/x
  3. Step 3: Cross multiply
    101,847.17x = 152,771.90 × 30,770.39
  4. Step 4: Simplify right side
    101,847.17x = 4,700,850,026.33
  5. Step 5: Solve for x
    x = 4,700,850,026.33/101,847.17
  6. Step 6: Final answer
    x = 46,155.92

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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.