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Finding the Fourth Proportional to 78,164.86, 107,862.38 and 49,867.50

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Solution

The fourth proportional to 78,164.86, 107,862.38 and 49,867.50 is: 68,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164.86 : 107,862.38 = 49,867.50 : x
  2. Step 2: Convert to fraction form
    78,164.86/107,862.38 = 49,867.50/x
  3. Step 3: Cross multiply
    78,164.86x = 107,862.38 × 49,867.50
  4. Step 4: Simplify right side
    78,164.86x = 5,378,827,234.65
  5. Step 5: Solve for x
    x = 5,378,827,234.65/78,164.86
  6. Step 6: Final answer
    x = 68,813.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.