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Finding the Fourth Proportional to 117,767.62, 176,651.55 and 47,647.54

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Solution

The fourth proportional to 117,767.62, 176,651.55 and 47,647.54 is: 71,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,767.62 : 176,651.55 = 47,647.54 : x
  2. Step 2: Convert to fraction form
    117,767.62/176,651.55 = 47,647.54/x
  3. Step 3: Cross multiply
    117,767.62x = 176,651.55 × 47,647.54
  4. Step 4: Simplify right side
    117,767.62x = 8,417,011,794.69
  5. Step 5: Solve for x
    x = 8,417,011,794.69/117,767.62
  6. Step 6: Final answer
    x = 71,471.36

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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.