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Finding the Fourth Proportional to 32,046.15, 48,069.33 and 9,859.37

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Solution

The fourth proportional to 32,046.15, 48,069.33 and 9,859.37 is: 14,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.15 : 48,069.33 = 9,859.37 : x
  2. Step 2: Convert to fraction form
    32,046.15/48,069.33 = 9,859.37/x
  3. Step 3: Cross multiply
    32,046.15x = 48,069.33 × 9,859.37
  4. Step 4: Simplify right side
    32,046.15x = 473,933,310.12
  5. Step 5: Solve for x
    x = 473,933,310.12/32,046.15
  6. Step 6: Final answer
    x = 14,789.09

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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.