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Finding the Fourth Proportional to 31,693, 43,722.34 and 20,358.84

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Solution

The fourth proportional to 31,693, 43,722.34 and 20,358.84 is: 28,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693 : 43,722.34 = 20,358.84 : x
  2. Step 2: Convert to fraction form
    31,693/43,722.34 = 20,358.84/x
  3. Step 3: Cross multiply
    31,693x = 43,722.34 × 20,358.84
  4. Step 4: Simplify right side
    31,693x = 890,136,124.49
  5. Step 5: Solve for x
    x = 890,136,124.49/31,693
  6. Step 6: Final answer
    x = 28,086.21

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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.