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Finding the Fourth Proportional to 76,903.70, 115,355.55 and 20,743.70

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Solution

The fourth proportional to 76,903.70, 115,355.55 and 20,743.70 is: 31,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903.70 : 115,355.55 = 20,743.70 : x
  2. Step 2: Convert to fraction form
    76,903.70/115,355.55 = 20,743.70/x
  3. Step 3: Cross multiply
    76,903.70x = 115,355.55 × 20,743.70
  4. Step 4: Simplify right side
    76,903.70x = 2,392,900,922.54
  5. Step 5: Solve for x
    x = 2,392,900,922.54/76,903.70
  6. Step 6: Final answer
    x = 31,115.55

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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.