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Finding the Fourth Proportional to 100,406.48, 138,561.08 and 55,694.48

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Solution

The fourth proportional to 100,406.48, 138,561.08 and 55,694.48 is: 76,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.48 : 138,561.08 = 55,694.48 : x
  2. Step 2: Convert to fraction form
    100,406.48/138,561.08 = 55,694.48/x
  3. Step 3: Cross multiply
    100,406.48x = 138,561.08 × 55,694.48
  4. Step 4: Simplify right side
    100,406.48x = 7,717,087,298.84
  5. Step 5: Solve for x
    x = 7,717,087,298.84/100,406.48
  6. Step 6: Final answer
    x = 76,858.46

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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.