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Finding the Fourth Proportional to 76,215.38, 105,007.85 and 50,327.95

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Solution

The fourth proportional to 76,215.38, 105,007.85 and 50,327.95 is: 69,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,215.38 : 105,007.85 = 50,327.95 : x
  2. Step 2: Convert to fraction form
    76,215.38/105,007.85 = 50,327.95/x
  3. Step 3: Cross multiply
    76,215.38x = 105,007.85 × 50,327.95
  4. Step 4: Simplify right side
    76,215.38x = 5,284,829,310.25
  5. Step 5: Solve for x
    x = 5,284,829,310.25/76,215.38
  6. Step 6: Final answer
    x = 69,340.72

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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.