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Finding the Fourth Proportional to 34,112.34, 47,020.50 and 22,759.38

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Solution

The fourth proportional to 34,112.34, 47,020.50 and 22,759.38 is: 31,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112.34 : 47,020.50 = 22,759.38 : x
  2. Step 2: Convert to fraction form
    34,112.34/47,020.50 = 22,759.38/x
  3. Step 3: Cross multiply
    34,112.34x = 47,020.50 × 22,759.38
  4. Step 4: Simplify right side
    34,112.34x = 1,070,157,427.29
  5. Step 5: Solve for x
    x = 1,070,157,427.29/34,112.34
  6. Step 6: Final answer
    x = 31,371.56

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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.