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Finding the Fourth Proportional to 76,466.76, 114,724.53 and 32,081.60

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Solution

The fourth proportional to 76,466.76, 114,724.53 and 32,081.60 is: 48,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466.76 : 114,724.53 = 32,081.60 : x
  2. Step 2: Convert to fraction form
    76,466.76/114,724.53 = 32,081.60/x
  3. Step 3: Cross multiply
    76,466.76x = 114,724.53 × 32,081.60
  4. Step 4: Simplify right side
    76,466.76x = 3,680,545,908.03
  5. Step 5: Solve for x
    x = 3,680,545,908.03/76,466.76
  6. Step 6: Final answer
    x = 48,132.63

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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.