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Finding the Fourth Proportional to 55,046.44, 82,569.66 and 23,881

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Solution

The fourth proportional to 55,046.44, 82,569.66 and 23,881 is: 35,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,046.44 : 82,569.66 = 23,881 : x
  2. Step 2: Convert to fraction form
    55,046.44/82,569.66 = 23,881/x
  3. Step 3: Cross multiply
    55,046.44x = 82,569.66 × 23,881
  4. Step 4: Simplify right side
    55,046.44x = 1,971,846,050.46
  5. Step 5: Solve for x
    x = 1,971,846,050.46/55,046.44
  6. Step 6: Final answer
    x = 35,821.50

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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.