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Finding the Fourth Proportional to 32,179.72, 48,274.08 and 9,994.81

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Solution

The fourth proportional to 32,179.72, 48,274.08 and 9,994.81 is: 14,993.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179.72 : 48,274.08 = 9,994.81 : x
  2. Step 2: Convert to fraction form
    32,179.72/48,274.08 = 9,994.81/x
  3. Step 3: Cross multiply
    32,179.72x = 48,274.08 × 9,994.81
  4. Step 4: Simplify right side
    32,179.72x = 482,490,257.52
  5. Step 5: Solve for x
    x = 482,490,257.52/32,179.72
  6. Step 6: Final answer
    x = 14,993.61

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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.