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Finding the Fourth Proportional to 71,856.46, 107,785.32 and 25,109.44

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Solution

The fourth proportional to 71,856.46, 107,785.32 and 25,109.44 is: 37,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,856.46 : 107,785.32 = 25,109.44 : x
  2. Step 2: Convert to fraction form
    71,856.46/107,785.32 = 25,109.44/x
  3. Step 3: Cross multiply
    71,856.46x = 107,785.32 × 25,109.44
  4. Step 4: Simplify right side
    71,856.46x = 2,706,429,025.42
  5. Step 5: Solve for x
    x = 2,706,429,025.42/71,856.46
  6. Step 6: Final answer
    x = 37,664.38

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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.