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Finding the Fourth Proportional to 32,609.97, 48,912.57 and 10,417.39

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Solution

The fourth proportional to 32,609.97, 48,912.57 and 10,417.39 is: 15,625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.97 : 48,912.57 = 10,417.39 : x
  2. Step 2: Convert to fraction form
    32,609.97/48,912.57 = 10,417.39/x
  3. Step 3: Cross multiply
    32,609.97x = 48,912.57 × 10,417.39
  4. Step 4: Simplify right side
    32,609.97x = 509,541,217.39
  5. Step 5: Solve for x
    x = 509,541,217.39/32,609.97
  6. Step 6: Final answer
    x = 15,625.32

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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.