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Finding the Fourth Proportional to 52,227.68, 78,192.24 and 48,917.12

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Solution

The fourth proportional to 52,227.68, 78,192.24 and 48,917.12 is: 73,235.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227.68 : 78,192.24 = 48,917.12 : x
  2. Step 2: Convert to fraction form
    52,227.68/78,192.24 = 48,917.12/x
  3. Step 3: Cross multiply
    52,227.68x = 78,192.24 × 48,917.12
  4. Step 4: Simplify right side
    52,227.68x = 3,824,939,187.15
  5. Step 5: Solve for x
    x = 3,824,939,187.15/52,227.68
  6. Step 6: Final answer
    x = 73,235.86

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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.