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Finding the Fourth Proportional to 32,017.35, 48,022.25 and 8,645.61

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Solution

The fourth proportional to 32,017.35, 48,022.25 and 8,645.61 is: 12,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.35 : 48,022.25 = 8,645.61 : x
  2. Step 2: Convert to fraction form
    32,017.35/48,022.25 = 8,645.61/x
  3. Step 3: Cross multiply
    32,017.35x = 48,022.25 × 8,645.61
  4. Step 4: Simplify right side
    32,017.35x = 415,181,601.59
  5. Step 5: Solve for x
    x = 415,181,601.59/32,017.35
  6. Step 6: Final answer
    x = 12,967.39

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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.