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Finding the Fourth Proportional to 98,311.52, 135,674.64 and 55,304.48

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Solution

The fourth proportional to 98,311.52, 135,674.64 and 55,304.48 is: 76,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311.52 : 135,674.64 = 55,304.48 : x
  2. Step 2: Convert to fraction form
    98,311.52/135,674.64 = 55,304.48/x
  3. Step 3: Cross multiply
    98,311.52x = 135,674.64 × 55,304.48
  4. Step 4: Simplify right side
    98,311.52x = 7,503,415,414.39
  5. Step 5: Solve for x
    x = 7,503,415,414.39/98,311.52
  6. Step 6: Final answer
    x = 76,322.85

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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.