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Finding the Fourth Proportional to 67,822.60, 101,661.90 and 32,739.40

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Solution

The fourth proportional to 67,822.60, 101,661.90 and 32,739.40 is: 49,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,822.60 : 101,661.90 = 32,739.40 : x
  2. Step 2: Convert to fraction form
    67,822.60/101,661.90 = 32,739.40/x
  3. Step 3: Cross multiply
    67,822.60x = 101,661.90 × 32,739.40
  4. Step 4: Simplify right side
    67,822.60x = 3,328,349,608.86
  5. Step 5: Solve for x
    x = 3,328,349,608.86/67,822.60
  6. Step 6: Final answer
    x = 49,074.34

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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.