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Finding the Fourth Proportional to 97,695.96, 134,823.48 and 55,253.64

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Solution

The fourth proportional to 97,695.96, 134,823.48 and 55,253.64 is: 76,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695.96 : 134,823.48 = 55,253.64 : x
  2. Step 2: Convert to fraction form
    97,695.96/134,823.48 = 55,253.64/x
  3. Step 3: Cross multiply
    97,695.96x = 134,823.48 × 55,253.64
  4. Step 4: Simplify right side
    97,695.96x = 7,449,488,027.47
  5. Step 5: Solve for x
    x = 7,449,488,027.47/97,695.96
  6. Step 6: Final answer
    x = 76,251.75

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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.