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Finding the Fourth Proportional to 48,407.92, 72,568.14 and 33,623.80

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Solution

The fourth proportional to 48,407.92, 72,568.14 and 33,623.80 is: 50,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407.92 : 72,568.14 = 33,623.80 : x
  2. Step 2: Convert to fraction form
    48,407.92/72,568.14 = 33,623.80/x
  3. Step 3: Cross multiply
    48,407.92x = 72,568.14 × 33,623.80
  4. Step 4: Simplify right side
    48,407.92x = 2,440,016,625.73
  5. Step 5: Solve for x
    x = 2,440,016,625.73/48,407.92
  6. Step 6: Final answer
    x = 50,405.32

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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.