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Finding the Fourth Proportional to 55,974.60, 83,991.42 and 24,813

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Solution

The fourth proportional to 55,974.60, 83,991.42 and 24,813 is: 37,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974.60 : 83,991.42 = 24,813 : x
  2. Step 2: Convert to fraction form
    55,974.60/83,991.42 = 24,813/x
  3. Step 3: Cross multiply
    55,974.60x = 83,991.42 × 24,813
  4. Step 4: Simplify right side
    55,974.60x = 2,084,079,104.46
  5. Step 5: Solve for x
    x = 2,084,079,104.46/55,974.60
  6. Step 6: Final answer
    x = 37,232.59

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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.