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Finding the Fourth Proportional to 84,643.42, 126,944.22 and 34,737.70

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Solution

The fourth proportional to 84,643.42, 126,944.22 and 34,737.70 is: 52,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.42 : 126,944.22 = 34,737.70 : x
  2. Step 2: Convert to fraction form
    84,643.42/126,944.22 = 34,737.70/x
  3. Step 3: Cross multiply
    84,643.42x = 126,944.22 × 34,737.70
  4. Step 4: Simplify right side
    84,643.42x = 4,409,750,231.09
  5. Step 5: Solve for x
    x = 4,409,750,231.09/84,643.42
  6. Step 6: Final answer
    x = 52,097.97

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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.