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Finding the Fourth Proportional to 32,107.31, 44,308.41 and 17,766.41

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Solution

The fourth proportional to 32,107.31, 44,308.41 and 17,766.41 is: 24,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.31 : 44,308.41 = 17,766.41 : x
  2. Step 2: Convert to fraction form
    32,107.31/44,308.41 = 17,766.41/x
  3. Step 3: Cross multiply
    32,107.31x = 44,308.41 × 17,766.41
  4. Step 4: Simplify right side
    32,107.31x = 787,201,378.51
  5. Step 5: Solve for x
    x = 787,201,378.51/32,107.31
  6. Step 6: Final answer
    x = 24,517.82

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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.