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Finding the Fourth Proportional to 76,876.72, 106,092.88 and 43,342

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Solution

The fourth proportional to 76,876.72, 106,092.88 and 43,342 is: 59,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.72 : 106,092.88 = 43,342 : x
  2. Step 2: Convert to fraction form
    76,876.72/106,092.88 = 43,342/x
  3. Step 3: Cross multiply
    76,876.72x = 106,092.88 × 43,342
  4. Step 4: Simplify right side
    76,876.72x = 4,598,277,604.96
  5. Step 5: Solve for x
    x = 4,598,277,604.96/76,876.72
  6. Step 6: Final answer
    x = 59,813.65

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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.