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Finding the Fourth Proportional to 35,783.92, 49,380.87 and 19,867.96

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Solution

The fourth proportional to 35,783.92, 49,380.87 and 19,867.96 is: 27,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.92 : 49,380.87 = 19,867.96 : x
  2. Step 2: Convert to fraction form
    35,783.92/49,380.87 = 19,867.96/x
  3. Step 3: Cross multiply
    35,783.92x = 49,380.87 × 19,867.96
  4. Step 4: Simplify right side
    35,783.92x = 981,097,149.93
  5. Step 5: Solve for x
    x = 981,097,149.93/35,783.92
  6. Step 6: Final answer
    x = 27,417.26

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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.