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Finding the Fourth Proportional to 100,384.78, 138,534.94 and 55,064.38

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Solution

The fourth proportional to 100,384.78, 138,534.94 and 55,064.38 is: 75,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.78 : 138,534.94 = 55,064.38 : x
  2. Step 2: Convert to fraction form
    100,384.78/138,534.94 = 55,064.38/x
  3. Step 3: Cross multiply
    100,384.78x = 138,534.94 × 55,064.38
  4. Step 4: Simplify right side
    100,384.78x = 7,628,340,579.44
  5. Step 5: Solve for x
    x = 7,628,340,579.44/100,384.78
  6. Step 6: Final answer
    x = 75,991.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.