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Finding the Fourth Proportional to 35,647.74, 49,193.64 and 19,731.87

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Solution

The fourth proportional to 35,647.74, 49,193.64 and 19,731.87 is: 27,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.74 : 49,193.64 = 19,731.87 : x
  2. Step 2: Convert to fraction form
    35,647.74/49,193.64 = 19,731.87/x
  3. Step 3: Cross multiply
    35,647.74x = 49,193.64 × 19,731.87
  4. Step 4: Simplify right side
    35,647.74x = 970,682,509.31
  5. Step 5: Solve for x
    x = 970,682,509.31/35,647.74
  6. Step 6: Final answer
    x = 27,229.85

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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.