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Finding the Fourth Proportional to 107,976.96, 161,966.52 and 37,857.96

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Solution

The fourth proportional to 107,976.96, 161,966.52 and 37,857.96 is: 56,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,976.96 : 161,966.52 = 37,857.96 : x
  2. Step 2: Convert to fraction form
    107,976.96/161,966.52 = 37,857.96/x
  3. Step 3: Cross multiply
    107,976.96x = 161,966.52 × 37,857.96
  4. Step 4: Simplify right side
    107,976.96x = 6,131,722,035.50
  5. Step 5: Solve for x
    x = 6,131,722,035.50/107,976.96
  6. Step 6: Final answer
    x = 56,787.32

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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.