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Finding the Fourth Proportional to 44,912.78, 61,978.40 and 24,769.29

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Solution

The fourth proportional to 44,912.78, 61,978.40 and 24,769.29 is: 34,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,912.78 : 61,978.40 = 24,769.29 : x
  2. Step 2: Convert to fraction form
    44,912.78/61,978.40 = 24,769.29/x
  3. Step 3: Cross multiply
    44,912.78x = 61,978.40 × 24,769.29
  4. Step 4: Simplify right side
    44,912.78x = 1,535,161,164.79
  5. Step 5: Solve for x
    x = 1,535,161,164.79/44,912.78
  6. Step 6: Final answer
    x = 34,180.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.