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Finding the Fourth Proportional to 36,180.56, 54,270.84 and 11,220

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Solution

The fourth proportional to 36,180.56, 54,270.84 and 11,220 is: 16,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180.56 : 54,270.84 = 11,220 : x
  2. Step 2: Convert to fraction form
    36,180.56/54,270.84 = 11,220/x
  3. Step 3: Cross multiply
    36,180.56x = 54,270.84 × 11,220
  4. Step 4: Simplify right side
    36,180.56x = 608,918,824.80
  5. Step 5: Solve for x
    x = 608,918,824.80/36,180.56
  6. Step 6: Final answer
    x = 16,830.00

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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.