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Finding the Fourth Proportional to 86,382.86, 119,192.56 and 48,141.44

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Solution

The fourth proportional to 86,382.86, 119,192.56 and 48,141.44 is: 66,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,382.86 : 119,192.56 = 48,141.44 : x
  2. Step 2: Convert to fraction form
    86,382.86/119,192.56 = 48,141.44/x
  3. Step 3: Cross multiply
    86,382.86x = 119,192.56 × 48,141.44
  4. Step 4: Simplify right side
    86,382.86x = 5,738,101,477.14
  5. Step 5: Solve for x
    x = 5,738,101,477.14/86,382.86
  6. Step 6: Final answer
    x = 66,426.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.