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Finding the Fourth Proportional to 32,093.46, 44,289 and 17,946.36

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Solution

The fourth proportional to 32,093.46, 44,289 and 17,946.36 is: 24,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093.46 : 44,289 = 17,946.36 : x
  2. Step 2: Convert to fraction form
    32,093.46/44,289 = 17,946.36/x
  3. Step 3: Cross multiply
    32,093.46x = 44,289 × 17,946.36
  4. Step 4: Simplify right side
    32,093.46x = 794,826,338.04
  5. Step 5: Solve for x
    x = 794,826,338.04/32,093.46
  6. Step 6: Final answer
    x = 24,765.99

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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.