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Finding the Fourth Proportional to 76,833.69, 115,294.29 and 61,349.73

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Solution

The fourth proportional to 76,833.69, 115,294.29 and 61,349.73 is: 92,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,833.69 : 115,294.29 = 61,349.73 : x
  2. Step 2: Convert to fraction form
    76,833.69/115,294.29 = 61,349.73/x
  3. Step 3: Cross multiply
    76,833.69x = 115,294.29 × 61,349.73
  4. Step 4: Simplify right side
    76,833.69x = 7,073,273,562.04
  5. Step 5: Solve for x
    x = 7,073,273,562.04/76,833.69
  6. Step 6: Final answer
    x = 92,059.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.