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Finding the Fourth Proportional to 106,690.58, 160,091.13 and 47,568.86

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Solution

The fourth proportional to 106,690.58, 160,091.13 and 47,568.86 is: 71,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,690.58 : 160,091.13 = 47,568.86 : x
  2. Step 2: Convert to fraction form
    106,690.58/160,091.13 = 47,568.86/x
  3. Step 3: Cross multiply
    106,690.58x = 160,091.13 × 47,568.86
  4. Step 4: Simplify right side
    106,690.58x = 7,615,352,550.21
  5. Step 5: Solve for x
    x = 7,615,352,550.21/106,690.58
  6. Step 6: Final answer
    x = 71,377.93

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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.