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Finding the Fourth Proportional to 56,231.78, 84,347.65 and 22,512.97

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Solution

The fourth proportional to 56,231.78, 84,347.65 and 22,512.97 is: 33,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,231.78 : 84,347.65 = 22,512.97 : x
  2. Step 2: Convert to fraction form
    56,231.78/84,347.65 = 22,512.97/x
  3. Step 3: Cross multiply
    56,231.78x = 84,347.65 × 22,512.97
  4. Step 4: Simplify right side
    56,231.78x = 1,898,916,114.02
  5. Step 5: Solve for x
    x = 1,898,916,114.02/56,231.78
  6. Step 6: Final answer
    x = 33,769.45

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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.