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Finding the Fourth Proportional to 35,743, 49,325.38 and 20,841.88

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Solution

The fourth proportional to 35,743, 49,325.38 and 20,841.88 is: 28,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,743 : 49,325.38 = 20,841.88 : x
  2. Step 2: Convert to fraction form
    35,743/49,325.38 = 20,841.88/x
  3. Step 3: Cross multiply
    35,743x = 49,325.38 × 20,841.88
  4. Step 4: Simplify right side
    35,743x = 1,028,033,650.91
  5. Step 5: Solve for x
    x = 1,028,033,650.91/35,743
  6. Step 6: Final answer
    x = 28,761.82

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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.