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Finding the Fourth Proportional to 97,863.60, 135,060.16 and 55,429.68

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Solution

The fourth proportional to 97,863.60, 135,060.16 and 55,429.68 is: 76,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,863.60 : 135,060.16 = 55,429.68 : x
  2. Step 2: Convert to fraction form
    97,863.60/135,060.16 = 55,429.68/x
  3. Step 3: Cross multiply
    97,863.60x = 135,060.16 × 55,429.68
  4. Step 4: Simplify right side
    97,863.60x = 7,486,341,449.55
  5. Step 5: Solve for x
    x = 7,486,341,449.55/97,863.60
  6. Step 6: Final answer
    x = 76,497.71

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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.