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Finding the Fourth Proportional to 32,954.76, 49,431.72 and 7,995

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Solution

The fourth proportional to 32,954.76, 49,431.72 and 7,995 is: 11,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.76 : 49,431.72 = 7,995 : x
  2. Step 2: Convert to fraction form
    32,954.76/49,431.72 = 7,995/x
  3. Step 3: Cross multiply
    32,954.76x = 49,431.72 × 7,995
  4. Step 4: Simplify right side
    32,954.76x = 395,206,601.40
  5. Step 5: Solve for x
    x = 395,206,601.40/32,954.76
  6. Step 6: Final answer
    x = 11,992.40

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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.