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Finding the Fourth Proportional to 113,759.82, 170,566.83 and 47,245.86

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Solution

The fourth proportional to 113,759.82, 170,566.83 and 47,245.86 is: 70,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,759.82 : 170,566.83 = 47,245.86 : x
  2. Step 2: Convert to fraction form
    113,759.82/170,566.83 = 47,245.86/x
  3. Step 3: Cross multiply
    113,759.82x = 170,566.83 × 47,245.86
  4. Step 4: Simplify right side
    113,759.82x = 8,058,577,115.36
  5. Step 5: Solve for x
    x = 8,058,577,115.36/113,759.82
  6. Step 6: Final answer
    x = 70,838.52

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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.