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Finding the Fourth Proportional to 55,733, 83,592.78 and 14,180.36

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Solution

The fourth proportional to 55,733, 83,592.78 and 14,180.36 is: 21,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,733 : 83,592.78 = 14,180.36 : x
  2. Step 2: Convert to fraction form
    55,733/83,592.78 = 14,180.36/x
  3. Step 3: Cross multiply
    55,733x = 83,592.78 × 14,180.36
  4. Step 4: Simplify right side
    55,733x = 1,185,375,713.80
  5. Step 5: Solve for x
    x = 1,185,375,713.80/55,733
  6. Step 6: Final answer
    x = 21,268.83

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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.