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Finding the Fourth Proportional to 32,206.22, 44,447.16 and 17,867.46

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Solution

The fourth proportional to 32,206.22, 44,447.16 and 17,867.46 is: 24,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.22 : 44,447.16 = 17,867.46 : x
  2. Step 2: Convert to fraction form
    32,206.22/44,447.16 = 17,867.46/x
  3. Step 3: Cross multiply
    32,206.22x = 44,447.16 × 17,867.46
  4. Step 4: Simplify right side
    32,206.22x = 794,157,853.41
  5. Step 5: Solve for x
    x = 794,157,853.41/32,206.22
  6. Step 6: Final answer
    x = 24,658.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.