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Finding the Fourth Proportional to 119,668.50, 179,502.75 and 32,116.50

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Solution

The fourth proportional to 119,668.50, 179,502.75 and 32,116.50 is: 48,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,668.50 : 179,502.75 = 32,116.50 : x
  2. Step 2: Convert to fraction form
    119,668.50/179,502.75 = 32,116.50/x
  3. Step 3: Cross multiply
    119,668.50x = 179,502.75 × 32,116.50
  4. Step 4: Simplify right side
    119,668.50x = 5,765,000,070.38
  5. Step 5: Solve for x
    x = 5,765,000,070.38/119,668.50
  6. Step 6: Final answer
    x = 48,174.75

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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.