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Finding the Fourth Proportional to 32,955.76, 49,433.22 and 7,996

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Solution

The fourth proportional to 32,955.76, 49,433.22 and 7,996 is: 11,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,955.76 : 49,433.22 = 7,996 : x
  2. Step 2: Convert to fraction form
    32,955.76/49,433.22 = 7,996/x
  3. Step 3: Cross multiply
    32,955.76x = 49,433.22 × 7,996
  4. Step 4: Simplify right side
    32,955.76x = 395,268,027.12
  5. Step 5: Solve for x
    x = 395,268,027.12/32,955.76
  6. Step 6: Final answer
    x = 11,993.90

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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.