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Finding the Fourth Proportional to 98,382.47, 135,767.18 and 55,941

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Solution

The fourth proportional to 98,382.47, 135,767.18 and 55,941 is: 77,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.47 : 135,767.18 = 55,941 : x
  2. Step 2: Convert to fraction form
    98,382.47/135,767.18 = 55,941/x
  3. Step 3: Cross multiply
    98,382.47x = 135,767.18 × 55,941
  4. Step 4: Simplify right side
    98,382.47x = 7,594,951,536.68
  5. Step 5: Solve for x
    x = 7,594,951,536.68/98,382.47
  6. Step 6: Final answer
    x = 77,198.22

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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.