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Finding the Fourth Proportional to 65,327.34, 90,150.12 and 38,108.64

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Solution

The fourth proportional to 65,327.34, 90,150.12 and 38,108.64 is: 52,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,327.34 : 90,150.12 = 38,108.64 : x
  2. Step 2: Convert to fraction form
    65,327.34/90,150.12 = 38,108.64/x
  3. Step 3: Cross multiply
    65,327.34x = 90,150.12 × 38,108.64
  4. Step 4: Simplify right side
    65,327.34x = 3,435,498,469.04
  5. Step 5: Solve for x
    x = 3,435,498,469.04/65,327.34
  6. Step 6: Final answer
    x = 52,588.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.