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Finding the Fourth Proportional to 95,324.50, 142,986.75 and 32,995

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Solution

The fourth proportional to 95,324.50, 142,986.75 and 32,995 is: 49,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,324.50 : 142,986.75 = 32,995 : x
  2. Step 2: Convert to fraction form
    95,324.50/142,986.75 = 32,995/x
  3. Step 3: Cross multiply
    95,324.50x = 142,986.75 × 32,995
  4. Step 4: Simplify right side
    95,324.50x = 4,717,847,816.25
  5. Step 5: Solve for x
    x = 4,717,847,816.25/95,324.50
  6. Step 6: Final answer
    x = 49,492.50

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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.