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Finding the Fourth Proportional to 55,213.44, 82,814.40 and 15,768

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Solution

The fourth proportional to 55,213.44, 82,814.40 and 15,768 is: 23,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.44 : 82,814.40 = 15,768 : x
  2. Step 2: Convert to fraction form
    55,213.44/82,814.40 = 15,768/x
  3. Step 3: Cross multiply
    55,213.44x = 82,814.40 × 15,768
  4. Step 4: Simplify right side
    55,213.44x = 1,305,817,459.20
  5. Step 5: Solve for x
    x = 1,305,817,459.20/55,213.44
  6. Step 6: Final answer
    x = 23,650.36

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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.