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Finding the Fourth Proportional to 32,488.94, 48,694.14 and 15,824

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Solution

The fourth proportional to 32,488.94, 48,694.14 and 15,824 is: 23,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.94 : 48,694.14 = 15,824 : x
  2. Step 2: Convert to fraction form
    32,488.94/48,694.14 = 15,824/x
  3. Step 3: Cross multiply
    32,488.94x = 48,694.14 × 15,824
  4. Step 4: Simplify right side
    32,488.94x = 770,536,071.36
  5. Step 5: Solve for x
    x = 770,536,071.36/32,488.94
  6. Step 6: Final answer
    x = 23,716.87

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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.