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Finding the Fourth Proportional to 107,898.33, 161,947.32 and 54,627.75

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Solution

The fourth proportional to 107,898.33, 161,947.32 and 54,627.75 is: 81,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,898.33 : 161,947.32 = 54,627.75 : x
  2. Step 2: Convert to fraction form
    107,898.33/161,947.32 = 54,627.75/x
  3. Step 3: Cross multiply
    107,898.33x = 161,947.32 × 54,627.75
  4. Step 4: Simplify right side
    107,898.33x = 8,846,817,710.13
  5. Step 5: Solve for x
    x = 8,846,817,710.13/107,898.33
  6. Step 6: Final answer
    x = 81,992.17

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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.