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Finding the Fourth Proportional to 76,930.70, 115,308.56 and 32,529.74

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Solution

The fourth proportional to 76,930.70, 115,308.56 and 32,529.74 is: 48,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930.70 : 115,308.56 = 32,529.74 : x
  2. Step 2: Convert to fraction form
    76,930.70/115,308.56 = 32,529.74/x
  3. Step 3: Cross multiply
    76,930.70x = 115,308.56 × 32,529.74
  4. Step 4: Simplify right side
    76,930.70x = 3,750,956,981.36
  5. Step 5: Solve for x
    x = 3,750,956,981.36/76,930.70
  6. Step 6: Final answer
    x = 48,757.61

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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.