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Finding the Fourth Proportional to 82,668.68, 123,998.58 and 48,493.48

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Solution

The fourth proportional to 82,668.68, 123,998.58 and 48,493.48 is: 72,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.68 : 123,998.58 = 48,493.48 : x
  2. Step 2: Convert to fraction form
    82,668.68/123,998.58 = 48,493.48/x
  3. Step 3: Cross multiply
    82,668.68x = 123,998.58 × 48,493.48
  4. Step 4: Simplify right side
    82,668.68x = 6,013,122,659.26
  5. Step 5: Solve for x
    x = 6,013,122,659.26/82,668.68
  6. Step 6: Final answer
    x = 72,737.62

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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.