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Finding the Fourth Proportional to 106,701.44, 160,059.46 and 31,815.83

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Solution

The fourth proportional to 106,701.44, 160,059.46 and 31,815.83 is: 47,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.44 : 160,059.46 = 31,815.83 : x
  2. Step 2: Convert to fraction form
    106,701.44/160,059.46 = 31,815.83/x
  3. Step 3: Cross multiply
    106,701.44x = 160,059.46 × 31,815.83
  4. Step 4: Simplify right side
    106,701.44x = 5,092,424,889.86
  5. Step 5: Solve for x
    x = 5,092,424,889.86/106,701.44
  6. Step 6: Final answer
    x = 47,725.92

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1.5x scale

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.