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Finding the Fourth Proportional to 34,757.72, 47,965.14 and 19,649.85

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Solution

The fourth proportional to 34,757.72, 47,965.14 and 19,649.85 is: 27,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757.72 : 47,965.14 = 19,649.85 : x
  2. Step 2: Convert to fraction form
    34,757.72/47,965.14 = 19,649.85/x
  3. Step 3: Cross multiply
    34,757.72x = 47,965.14 × 19,649.85
  4. Step 4: Simplify right side
    34,757.72x = 942,507,806.23
  5. Step 5: Solve for x
    x = 942,507,806.23/34,757.72
  6. Step 6: Final answer
    x = 27,116.50

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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.