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Finding the Fourth Proportional to 32,956.25, 49,433.96 and 7,996.50

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Solution

The fourth proportional to 32,956.25, 49,433.96 and 7,996.50 is: 11,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956.25 : 49,433.96 = 7,996.50 : x
  2. Step 2: Convert to fraction form
    32,956.25/49,433.96 = 7,996.50/x
  3. Step 3: Cross multiply
    32,956.25x = 49,433.96 × 7,996.50
  4. Step 4: Simplify right side
    32,956.25x = 395,298,621.16
  5. Step 5: Solve for x
    x = 395,298,621.16/32,956.25
  6. Step 6: Final answer
    x = 11,994.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.