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Finding the Fourth Proportional to 47,768.70, 71,653.05 and 36,731.10

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Solution

The fourth proportional to 47,768.70, 71,653.05 and 36,731.10 is: 55,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,768.70 : 71,653.05 = 36,731.10 : x
  2. Step 2: Convert to fraction form
    47,768.70/71,653.05 = 36,731.10/x
  3. Step 3: Cross multiply
    47,768.70x = 71,653.05 × 36,731.10
  4. Step 4: Simplify right side
    47,768.70x = 2,631,895,344.86
  5. Step 5: Solve for x
    x = 2,631,895,344.86/47,768.70
  6. Step 6: Final answer
    x = 55,096.65

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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.