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Finding the Fourth Proportional to 97,654.38, 134,777.40 and 61,847.70

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Solution

The fourth proportional to 97,654.38, 134,777.40 and 61,847.70 is: 85,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,654.38 : 134,777.40 = 61,847.70 : x
  2. Step 2: Convert to fraction form
    97,654.38/134,777.40 = 61,847.70/x
  3. Step 3: Cross multiply
    97,654.38x = 134,777.40 × 61,847.70
  4. Step 4: Simplify right side
    97,654.38x = 8,335,672,201.98
  5. Step 5: Solve for x
    x = 8,335,672,201.98/97,654.38
  6. Step 6: Final answer
    x = 85,358.92

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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.