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Finding the Fourth Proportional to 76,471.74, 114,701.94 and 32,096.70

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Solution

The fourth proportional to 76,471.74, 114,701.94 and 32,096.70 is: 48,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,471.74 : 114,701.94 = 32,096.70 : x
  2. Step 2: Convert to fraction form
    76,471.74/114,701.94 = 32,096.70/x
  3. Step 3: Cross multiply
    76,471.74x = 114,701.94 × 32,096.70
  4. Step 4: Simplify right side
    76,471.74x = 3,681,553,757.60
  5. Step 5: Solve for x
    x = 3,681,553,757.60/76,471.74
  6. Step 6: Final answer
    x = 48,142.67

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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.