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Finding the Fourth Proportional to 72,764.74, 109,188.96 and 30,641.50

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Solution

The fourth proportional to 72,764.74, 109,188.96 and 30,641.50 is: 45,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764.74 : 109,188.96 = 30,641.50 : x
  2. Step 2: Convert to fraction form
    72,764.74/109,188.96 = 30,641.50/x
  3. Step 3: Cross multiply
    72,764.74x = 109,188.96 × 30,641.50
  4. Step 4: Simplify right side
    72,764.74x = 3,345,713,517.84
  5. Step 5: Solve for x
    x = 3,345,713,517.84/72,764.74
  6. Step 6: Final answer
    x = 45,979.87

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