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Finding the Fourth Proportional to 48,516.92, 72,784.20 and 20,053.96

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Solution

The fourth proportional to 48,516.92, 72,784.20 and 20,053.96 is: 30,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,516.92 : 72,784.20 = 20,053.96 : x
  2. Step 2: Convert to fraction form
    48,516.92/72,784.20 = 20,053.96/x
  3. Step 3: Cross multiply
    48,516.92x = 72,784.20 × 20,053.96
  4. Step 4: Simplify right side
    48,516.92x = 1,459,611,435.43
  5. Step 5: Solve for x
    x = 1,459,611,435.43/48,516.92
  6. Step 6: Final answer
    x = 30,084.59

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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.