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Finding the Fourth Proportional to 49,967.34, 68,961.96 and 32,113.32

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Solution

The fourth proportional to 49,967.34, 68,961.96 and 32,113.32 is: 44,320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,967.34 : 68,961.96 = 32,113.32 : x
  2. Step 2: Convert to fraction form
    49,967.34/68,961.96 = 32,113.32/x
  3. Step 3: Cross multiply
    49,967.34x = 68,961.96 × 32,113.32
  4. Step 4: Simplify right side
    49,967.34x = 2,214,597,489.31
  5. Step 5: Solve for x
    x = 2,214,597,489.31/49,967.34
  6. Step 6: Final answer
    x = 44,320.90

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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.