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Finding the Fourth Proportional to 35,822.71, 49,431.90 and 19,906.21

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Solution

The fourth proportional to 35,822.71, 49,431.90 and 19,906.21 is: 27,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822.71 : 49,431.90 = 19,906.21 : x
  2. Step 2: Convert to fraction form
    35,822.71/49,431.90 = 19,906.21/x
  3. Step 3: Cross multiply
    35,822.71x = 49,431.90 × 19,906.21
  4. Step 4: Simplify right side
    35,822.71x = 984,001,782.10
  5. Step 5: Solve for x
    x = 984,001,782.10/35,822.71
  6. Step 6: Final answer
    x = 27,468.66

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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.