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Finding the Fourth Proportional to 48,421.34, 66,834.12 and 27,207.44

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Solution

The fourth proportional to 48,421.34, 66,834.12 and 27,207.44 is: 37,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,421.34 : 66,834.12 = 27,207.44 : x
  2. Step 2: Convert to fraction form
    48,421.34/66,834.12 = 27,207.44/x
  3. Step 3: Cross multiply
    48,421.34x = 66,834.12 × 27,207.44
  4. Step 4: Simplify right side
    48,421.34x = 1,818,385,309.85
  5. Step 5: Solve for x
    x = 1,818,385,309.85/48,421.34
  6. Step 6: Final answer
    x = 37,553.39

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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.