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Finding the Fourth Proportional to 100,344.51, 138,473.82 and 55,022.88

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Solution

The fourth proportional to 100,344.51, 138,473.82 and 55,022.88 is: 75,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344.51 : 138,473.82 = 55,022.88 : x
  2. Step 2: Convert to fraction form
    100,344.51/138,473.82 = 55,022.88/x
  3. Step 3: Cross multiply
    100,344.51x = 138,473.82 × 55,022.88
  4. Step 4: Simplify right side
    100,344.51x = 7,619,228,900.28
  5. Step 5: Solve for x
    x = 7,619,228,900.28/100,344.51
  6. Step 6: Final answer
    x = 75,930.70

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