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Finding the Fourth Proportional to 32,515.62, 48,777.33 and 11,451.31

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Solution

The fourth proportional to 32,515.62, 48,777.33 and 11,451.31 is: 17,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515.62 : 48,777.33 = 11,451.31 : x
  2. Step 2: Convert to fraction form
    32,515.62/48,777.33 = 11,451.31/x
  3. Step 3: Cross multiply
    32,515.62x = 48,777.33 × 11,451.31
  4. Step 4: Simplify right side
    32,515.62x = 558,564,097.23
  5. Step 5: Solve for x
    x = 558,564,097.23/32,515.62
  6. Step 6: Final answer
    x = 17,178.33

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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.