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Finding the Fourth Proportional to 36,488.50, 50,354.14 and 19,721.50

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Solution

The fourth proportional to 36,488.50, 50,354.14 and 19,721.50 is: 27,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488.50 : 50,354.14 = 19,721.50 : x
  2. Step 2: Convert to fraction form
    36,488.50/50,354.14 = 19,721.50/x
  3. Step 3: Cross multiply
    36,488.50x = 50,354.14 × 19,721.50
  4. Step 4: Simplify right side
    36,488.50x = 993,059,172.01
  5. Step 5: Solve for x
    x = 993,059,172.01/36,488.50
  6. Step 6: Final answer
    x = 27,215.68

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1.5x scale

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.