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Finding the Fourth Proportional to 49,092.96, 73,596.96 and 22,784.16

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Solution

The fourth proportional to 49,092.96, 73,596.96 and 22,784.16 is: 34,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,092.96 : 73,596.96 = 22,784.16 : x
  2. Step 2: Convert to fraction form
    49,092.96/73,596.96 = 22,784.16/x
  3. Step 3: Cross multiply
    49,092.96x = 73,596.96 × 22,784.16
  4. Step 4: Simplify right side
    49,092.96x = 1,676,844,912.15
  5. Step 5: Solve for x
    x = 1,676,844,912.15/49,092.96
  6. Step 6: Final answer
    x = 34,156.52

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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.