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Finding the Fourth Proportional to 114,591.81, 171,906.66 and 48,036.90

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Solution

The fourth proportional to 114,591.81, 171,906.66 and 48,036.90 is: 72,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,591.81 : 171,906.66 = 48,036.90 : x
  2. Step 2: Convert to fraction form
    114,591.81/171,906.66 = 48,036.90/x
  3. Step 3: Cross multiply
    114,591.81x = 171,906.66 × 48,036.90
  4. Step 4: Simplify right side
    114,591.81x = 8,257,863,035.75
  5. Step 5: Solve for x
    x = 8,257,863,035.75/114,591.81
  6. Step 6: Final answer
    x = 72,063.29

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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.