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Finding the Fourth Proportional to 97,422.62, 134,447.04 and 54,982.64

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Solution

The fourth proportional to 97,422.62, 134,447.04 and 54,982.64 is: 75,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422.62 : 134,447.04 = 54,982.64 : x
  2. Step 2: Convert to fraction form
    97,422.62/134,447.04 = 54,982.64/x
  3. Step 3: Cross multiply
    97,422.62x = 134,447.04 × 54,982.64
  4. Step 4: Simplify right side
    97,422.62x = 7,392,253,199.39
  5. Step 5: Solve for x
    x = 7,392,253,199.39/97,422.62
  6. Step 6: Final answer
    x = 75,878.20

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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.