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Finding the Fourth Proportional to 35,782.92, 49,379.49 and 19,866.96

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Solution

The fourth proportional to 35,782.92, 49,379.49 and 19,866.96 is: 27,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.92 : 49,379.49 = 19,866.96 : x
  2. Step 2: Convert to fraction form
    35,782.92/49,379.49 = 19,866.96/x
  3. Step 3: Cross multiply
    35,782.92x = 49,379.49 × 19,866.96
  4. Step 4: Simplify right side
    35,782.92x = 981,020,352.65
  5. Step 5: Solve for x
    x = 981,020,352.65/35,782.92
  6. Step 6: Final answer
    x = 27,415.88

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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.