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Finding the Fourth Proportional to 31,798.73, 47,744.94 and 17,786.21

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Solution

The fourth proportional to 31,798.73, 47,744.94 and 17,786.21 is: 26,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798.73 : 47,744.94 = 17,786.21 : x
  2. Step 2: Convert to fraction form
    31,798.73/47,744.94 = 17,786.21/x
  3. Step 3: Cross multiply
    31,798.73x = 47,744.94 × 17,786.21
  4. Step 4: Simplify right side
    31,798.73x = 849,201,529.28
  5. Step 5: Solve for x
    x = 849,201,529.28/31,798.73
  6. Step 6: Final answer
    x = 26,705.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.