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Finding the Fourth Proportional to 32,589, 48,883.50 and 7,965

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Solution

The fourth proportional to 32,589, 48,883.50 and 7,965 is: 11,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,589 : 48,883.50 = 7,965 : x
  2. Step 2: Convert to fraction form
    32,589/48,883.50 = 7,965/x
  3. Step 3: Cross multiply
    32,589x = 48,883.50 × 7,965
  4. Step 4: Simplify right side
    32,589x = 389,357,077.50
  5. Step 5: Solve for x
    x = 389,357,077.50/32,589
  6. Step 6: Final answer
    x = 11,947.50

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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.