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Finding the Fourth Proportional to 55,179.64, 82,769.03 and 36,543.08

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Solution

The fourth proportional to 55,179.64, 82,769.03 and 36,543.08 is: 54,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,179.64 : 82,769.03 = 36,543.08 : x
  2. Step 2: Convert to fraction form
    55,179.64/82,769.03 = 36,543.08/x
  3. Step 3: Cross multiply
    55,179.64x = 82,769.03 × 36,543.08
  4. Step 4: Simplify right side
    55,179.64x = 3,024,635,102.10
  5. Step 5: Solve for x
    x = 3,024,635,102.10/55,179.64
  6. Step 6: Final answer
    x = 54,814.33

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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.