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Finding the Fourth Proportional to 67,983.34, 101,756.65 and 36,314.21

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Solution

The fourth proportional to 67,983.34, 101,756.65 and 36,314.21 is: 54,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983.34 : 101,756.65 = 36,314.21 : x
  2. Step 2: Convert to fraction form
    67,983.34/101,756.65 = 36,314.21/x
  3. Step 3: Cross multiply
    67,983.34x = 101,756.65 × 36,314.21
  4. Step 4: Simplify right side
    67,983.34x = 3,695,212,175.43
  5. Step 5: Solve for x
    x = 3,695,212,175.43/67,983.34
  6. Step 6: Final answer
    x = 54,354.68

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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.