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Finding the Fourth Proportional to 76,466.96, 114,724.81 and 32,081.79

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Solution

The fourth proportional to 76,466.96, 114,724.81 and 32,081.79 is: 48,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.96 : 114,724.81 = 32,081.79 : x
  2. Step 2: Convert to fraction form
    76,466.96/114,724.81 = 32,081.79/x
  3. Step 3: Cross multiply
    76,466.96x = 114,724.81 × 32,081.79
  4. Step 4: Simplify right side
    76,466.96x = 3,680,577,182.01
  5. Step 5: Solve for x
    x = 3,680,577,182.01/76,466.96
  6. Step 6: Final answer
    x = 48,132.91

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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.