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Finding the Fourth Proportional to 38,266.30, 52,807.20 and 21,499.30

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Solution

The fourth proportional to 38,266.30, 52,807.20 and 21,499.30 is: 29,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266.30 : 52,807.20 = 21,499.30 : x
  2. Step 2: Convert to fraction form
    38,266.30/52,807.20 = 21,499.30/x
  3. Step 3: Cross multiply
    38,266.30x = 52,807.20 × 21,499.30
  4. Step 4: Simplify right side
    38,266.30x = 1,135,317,834.96
  5. Step 5: Solve for x
    x = 1,135,317,834.96/38,266.30
  6. Step 6: Final answer
    x = 29,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.