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Finding the Fourth Proportional to 32,586, 48,879.48 and 7,962

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Solution

The fourth proportional to 32,586, 48,879.48 and 7,962 is: 11,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586 : 48,879.48 = 7,962 : x
  2. Step 2: Convert to fraction form
    32,586/48,879.48 = 7,962/x
  3. Step 3: Cross multiply
    32,586x = 48,879.48 × 7,962
  4. Step 4: Simplify right side
    32,586x = 389,178,419.76
  5. Step 5: Solve for x
    x = 389,178,419.76/32,586
  6. Step 6: Final answer
    x = 11,943.12

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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.