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Finding the Fourth Proportional to 82,385.66, 123,495.39 and 32,446.46

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Solution

The fourth proportional to 82,385.66, 123,495.39 and 32,446.46 is: 48,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,385.66 : 123,495.39 = 32,446.46 : x
  2. Step 2: Convert to fraction form
    82,385.66/123,495.39 = 32,446.46/x
  3. Step 3: Cross multiply
    82,385.66x = 123,495.39 × 32,446.46
  4. Step 4: Simplify right side
    82,385.66x = 4,006,987,614.34
  5. Step 5: Solve for x
    x = 4,006,987,614.34/82,385.66
  6. Step 6: Final answer
    x = 48,636.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.