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Finding the Fourth Proportional to 32,107.68, 44,310.32 and 17,959.68

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Solution

The fourth proportional to 32,107.68, 44,310.32 and 17,959.68 is: 24,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.68 : 44,310.32 = 17,959.68 : x
  2. Step 2: Convert to fraction form
    32,107.68/44,310.32 = 17,959.68/x
  3. Step 3: Cross multiply
    32,107.68x = 44,310.32 × 17,959.68
  4. Step 4: Simplify right side
    32,107.68x = 795,799,167.90
  5. Step 5: Solve for x
    x = 795,799,167.90/32,107.68
  6. Step 6: Final answer
    x = 24,785.32

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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.