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Finding the Fourth Proportional to 98,111.52, 135,412.56 and 55,674

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Solution

The fourth proportional to 98,111.52, 135,412.56 and 55,674 is: 76,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,111.52 : 135,412.56 = 55,674 : x
  2. Step 2: Convert to fraction form
    98,111.52/135,412.56 = 55,674/x
  3. Step 3: Cross multiply
    98,111.52x = 135,412.56 × 55,674
  4. Step 4: Simplify right side
    98,111.52x = 7,538,958,865.44
  5. Step 5: Solve for x
    x = 7,538,958,865.44/98,111.52
  6. Step 6: Final answer
    x = 76,840.71

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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.