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Finding the Fourth Proportional to 55,482.78, 83,224.20 and 18,546.78

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Solution

The fourth proportional to 55,482.78, 83,224.20 and 18,546.78 is: 27,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482.78 : 83,224.20 = 18,546.78 : x
  2. Step 2: Convert to fraction form
    55,482.78/83,224.20 = 18,546.78/x
  3. Step 3: Cross multiply
    55,482.78x = 83,224.20 × 18,546.78
  4. Step 4: Simplify right side
    55,482.78x = 1,543,540,928.08
  5. Step 5: Solve for x
    x = 1,543,540,928.08/55,482.78
  6. Step 6: Final answer
    x = 27,820.18

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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.