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Finding the Fourth Proportional to 76,466.33, 114,723.87 and 32,081.16

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Solution

The fourth proportional to 76,466.33, 114,723.87 and 32,081.16 is: 48,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.33 : 114,723.87 = 32,081.16 : x
  2. Step 2: Convert to fraction form
    76,466.33/114,723.87 = 32,081.16/x
  3. Step 3: Cross multiply
    76,466.33x = 114,723.87 × 32,081.16
  4. Step 4: Simplify right side
    76,466.33x = 3,680,475,035.90
  5. Step 5: Solve for x
    x = 3,680,475,035.90/76,466.33
  6. Step 6: Final answer
    x = 48,131.97

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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.