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Finding the Fourth Proportional to 55,872.81, 83,809 and 22,592.47

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Solution

The fourth proportional to 55,872.81, 83,809 and 22,592.47 is: 33,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,872.81 : 83,809 = 22,592.47 : x
  2. Step 2: Convert to fraction form
    55,872.81/83,809 = 22,592.47/x
  3. Step 3: Cross multiply
    55,872.81x = 83,809 × 22,592.47
  4. Step 4: Simplify right side
    55,872.81x = 1,893,452,318.23
  5. Step 5: Solve for x
    x = 1,893,452,318.23/55,872.81
  6. Step 6: Final answer
    x = 33,888.62

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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.