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Finding the Fourth Proportional to 117,169.21, 175,753.77 and 47,048.50

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Solution

The fourth proportional to 117,169.21, 175,753.77 and 47,048.50 is: 70,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,169.21 : 175,753.77 = 47,048.50 : x
  2. Step 2: Convert to fraction form
    117,169.21/175,753.77 = 47,048.50/x
  3. Step 3: Cross multiply
    117,169.21x = 175,753.77 × 47,048.50
  4. Step 4: Simplify right side
    117,169.21x = 8,268,951,247.85
  5. Step 5: Solve for x
    x = 8,268,951,247.85/117,169.21
  6. Step 6: Final answer
    x = 70,572.73

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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.