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Finding the Fourth Proportional to 29,820.78, 41,137.50 and 22,734.90

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Solution

The fourth proportional to 29,820.78, 41,137.50 and 22,734.90 is: 31,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.78 : 41,137.50 = 22,734.90 : x
  2. Step 2: Convert to fraction form
    29,820.78/41,137.50 = 22,734.90/x
  3. Step 3: Cross multiply
    29,820.78x = 41,137.50 × 22,734.90
  4. Step 4: Simplify right side
    29,820.78x = 935,256,948.75
  5. Step 5: Solve for x
    x = 935,256,948.75/29,820.78
  6. Step 6: Final answer
    x = 31,362.59

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1.5x scale

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.