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Finding the Fourth Proportional to 119,667, 179,500.50 and 32,115

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Solution

The fourth proportional to 119,667, 179,500.50 and 32,115 is: 48,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,667 : 179,500.50 = 32,115 : x
  2. Step 2: Convert to fraction form
    119,667/179,500.50 = 32,115/x
  3. Step 3: Cross multiply
    119,667x = 179,500.50 × 32,115
  4. Step 4: Simplify right side
    119,667x = 5,764,658,557.50
  5. Step 5: Solve for x
    x = 5,764,658,557.50/119,667
  6. Step 6: Final answer
    x = 48,172.50

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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.