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Finding the Fourth Proportional to 107,098.82, 160,678.33 and 39,629.86

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Solution

The fourth proportional to 107,098.82, 160,678.33 and 39,629.86 is: 59,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.82 : 160,678.33 = 39,629.86 : x
  2. Step 2: Convert to fraction form
    107,098.82/160,678.33 = 39,629.86/x
  3. Step 3: Cross multiply
    107,098.82x = 160,678.33 × 39,629.86
  4. Step 4: Simplify right side
    107,098.82x = 6,367,659,722.93
  5. Step 5: Solve for x
    x = 6,367,659,722.93/107,098.82
  6. Step 6: Final answer
    x = 59,455.93

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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.