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Finding the Fourth Proportional to 32,712.02, 45,097.23 and 22,084.82

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Solution

The fourth proportional to 32,712.02, 45,097.23 and 22,084.82 is: 30,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.02 : 45,097.23 = 22,084.82 : x
  2. Step 2: Convert to fraction form
    32,712.02/45,097.23 = 22,084.82/x
  3. Step 3: Cross multiply
    32,712.02x = 45,097.23 × 22,084.82
  4. Step 4: Simplify right side
    32,712.02x = 995,964,207.05
  5. Step 5: Solve for x
    x = 995,964,207.05/32,712.02
  6. Step 6: Final answer
    x = 30,446.43

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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.