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Finding the Fourth Proportional to 61,516.53, 84,893.06 and 34,659.43

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Solution

The fourth proportional to 61,516.53, 84,893.06 and 34,659.43 is: 47,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,516.53 : 84,893.06 = 34,659.43 : x
  2. Step 2: Convert to fraction form
    61,516.53/84,893.06 = 34,659.43/x
  3. Step 3: Cross multiply
    61,516.53x = 84,893.06 × 34,659.43
  4. Step 4: Simplify right side
    61,516.53x = 2,942,344,944.97
  5. Step 5: Solve for x
    x = 2,942,344,944.97/61,516.53
  6. Step 6: Final answer
    x = 47,830.15

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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.