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Finding the Fourth Proportional to 36,225, 54,331.65 and 9,923.59

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Solution

The fourth proportional to 36,225, 54,331.65 and 9,923.59 is: 14,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,225 : 54,331.65 = 9,923.59 : x
  2. Step 2: Convert to fraction form
    36,225/54,331.65 = 9,923.59/x
  3. Step 3: Cross multiply
    36,225x = 54,331.65 × 9,923.59
  4. Step 4: Simplify right side
    36,225x = 539,165,018.62
  5. Step 5: Solve for x
    x = 539,165,018.62/36,225
  6. Step 6: Final answer
    x = 14,883.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.