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Finding the Fourth Proportional to 107,124.46, 160,697.34 and 39,674.55

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Solution

The fourth proportional to 107,124.46, 160,697.34 and 39,674.55 is: 59,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,124.46 : 160,697.34 = 39,674.55 : x
  2. Step 2: Convert to fraction form
    107,124.46/160,697.34 = 39,674.55/x
  3. Step 3: Cross multiply
    107,124.46x = 160,697.34 × 39,674.55
  4. Step 4: Simplify right side
    107,124.46x = 6,375,594,650.70
  5. Step 5: Solve for x
    x = 6,375,594,650.70/107,124.46
  6. Step 6: Final answer
    x = 59,515.77

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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.