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Finding the Fourth Proportional to 55,424.66, 83,164.79 and 25,844.82

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Solution

The fourth proportional to 55,424.66, 83,164.79 and 25,844.82 is: 38,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,424.66 : 83,164.79 = 25,844.82 : x
  2. Step 2: Convert to fraction form
    55,424.66/83,164.79 = 25,844.82/x
  3. Step 3: Cross multiply
    55,424.66x = 83,164.79 × 25,844.82
  4. Step 4: Simplify right side
    55,424.66x = 2,149,379,027.89
  5. Step 5: Solve for x
    x = 2,149,379,027.89/55,424.66
  6. Step 6: Final answer
    x = 38,780.19

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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.