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Finding the Fourth Proportional to 32,511.38, 44,850.58 and 23,085.14

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Solution

The fourth proportional to 32,511.38, 44,850.58 and 23,085.14 is: 31,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511.38 : 44,850.58 = 23,085.14 : x
  2. Step 2: Convert to fraction form
    32,511.38/44,850.58 = 23,085.14/x
  3. Step 3: Cross multiply
    32,511.38x = 44,850.58 × 23,085.14
  4. Step 4: Simplify right side
    32,511.38x = 1,035,381,636.42
  5. Step 5: Solve for x
    x = 1,035,381,636.42/32,511.38
  6. Step 6: Final answer
    x = 31,846.75

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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.