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Finding the Fourth Proportional to 38,209.50, 52,732.26 and 21,214.80

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Solution

The fourth proportional to 38,209.50, 52,732.26 and 21,214.80 is: 29,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.50 : 52,732.26 = 21,214.80 : x
  2. Step 2: Convert to fraction form
    38,209.50/52,732.26 = 21,214.80/x
  3. Step 3: Cross multiply
    38,209.50x = 52,732.26 × 21,214.80
  4. Step 4: Simplify right side
    38,209.50x = 1,118,704,349.45
  5. Step 5: Solve for x
    x = 1,118,704,349.45/38,209.50
  6. Step 6: Final answer
    x = 29,278.17

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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.