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Finding the Fourth Proportional to 35,798.75, 49,400.90 and 19,884.21

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Solution

The fourth proportional to 35,798.75, 49,400.90 and 19,884.21 is: 27,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,798.75 : 49,400.90 = 19,884.21 : x
  2. Step 2: Convert to fraction form
    35,798.75/49,400.90 = 19,884.21/x
  3. Step 3: Cross multiply
    35,798.75x = 49,400.90 × 19,884.21
  4. Step 4: Simplify right side
    35,798.75x = 982,297,770.37
  5. Step 5: Solve for x
    x = 982,297,770.37/35,798.75
  6. Step 6: Final answer
    x = 27,439.45

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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.