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Finding the Fourth Proportional to 98,059.41, 135,327.92 and 55,053

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Solution

The fourth proportional to 98,059.41, 135,327.92 and 55,053 is: 75,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,059.41 : 135,327.92 = 55,053 : x
  2. Step 2: Convert to fraction form
    98,059.41/135,327.92 = 55,053/x
  3. Step 3: Cross multiply
    98,059.41x = 135,327.92 × 55,053
  4. Step 4: Simplify right side
    98,059.41x = 7,450,207,704.50
  5. Step 5: Solve for x
    x = 7,450,207,704.50/98,059.41
  6. Step 6: Final answer
    x = 75,976.47

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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.