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Finding the Fourth Proportional to 119,668, 179,502 and 32,116

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Solution

The fourth proportional to 119,668, 179,502 and 32,116 is: 48,174

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668 : 179,502 = 32,116 : x
  2. Step 2: Convert to fraction form
    119,668/179,502 = 32,116/x
  3. Step 3: Cross multiply
    119,668x = 179,502 × 32,116
  4. Step 4: Simplify right side
    119,668x = 5,764,886,232
  5. Step 5: Solve for x
    x = 5,764,886,232/119,668
  6. Step 6: Final answer
    x = 48,174

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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.