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Finding the Fourth Proportional to 55,482.08, 83,224.16 and 18,546.08

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Solution

The fourth proportional to 55,482.08, 83,224.16 and 18,546.08 is: 27,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482.08 : 83,224.16 = 18,546.08 : x
  2. Step 2: Convert to fraction form
    55,482.08/83,224.16 = 18,546.08/x
  3. Step 3: Cross multiply
    55,482.08x = 83,224.16 × 18,546.08
  4. Step 4: Simplify right side
    55,482.08x = 1,543,481,929.29
  5. Step 5: Solve for x
    x = 1,543,481,929.29/55,482.08
  6. Step 6: Final answer
    x = 27,819.47

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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.