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Finding the Fourth Proportional to 32,117.68, 48,173.06 and 8,427.61

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Solution

The fourth proportional to 32,117.68, 48,173.06 and 8,427.61 is: 12,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.68 : 48,173.06 = 8,427.61 : x
  2. Step 2: Convert to fraction form
    32,117.68/48,173.06 = 8,427.61/x
  3. Step 3: Cross multiply
    32,117.68x = 48,173.06 × 8,427.61
  4. Step 4: Simplify right side
    32,117.68x = 405,983,796.07
  5. Step 5: Solve for x
    x = 405,983,796.07/32,117.68
  6. Step 6: Final answer
    x = 12,640.51

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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.