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Finding the Fourth Proportional to 34,626.96, 51,938.37 and 9,668.43

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Solution

The fourth proportional to 34,626.96, 51,938.37 and 9,668.43 is: 14,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,626.96 : 51,938.37 = 9,668.43 : x
  2. Step 2: Convert to fraction form
    34,626.96/51,938.37 = 9,668.43/x
  3. Step 3: Cross multiply
    34,626.96x = 51,938.37 × 9,668.43
  4. Step 4: Simplify right side
    34,626.96x = 502,162,494.66
  5. Step 5: Solve for x
    x = 502,162,494.66/34,626.96
  6. Step 6: Final answer
    x = 14,502.07

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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.