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Finding the Fourth Proportional to 100,365.56, 138,504.25 and 57,924.09

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Solution

The fourth proportional to 100,365.56, 138,504.25 and 57,924.09 is: 79,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.56 : 138,504.25 = 57,924.09 : x
  2. Step 2: Convert to fraction form
    100,365.56/138,504.25 = 57,924.09/x
  3. Step 3: Cross multiply
    100,365.56x = 138,504.25 × 57,924.09
  4. Step 4: Simplify right side
    100,365.56x = 8,022,732,642.38
  5. Step 5: Solve for x
    x = 8,022,732,642.38/100,365.56
  6. Step 6: Final answer
    x = 79,935.12

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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.