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Finding the Fourth Proportional to 71,188.60, 106,746.78 and 23,786.68

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Solution

The fourth proportional to 71,188.60, 106,746.78 and 23,786.68 is: 35,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,188.60 : 106,746.78 = 23,786.68 : x
  2. Step 2: Convert to fraction form
    71,188.60/106,746.78 = 23,786.68/x
  3. Step 3: Cross multiply
    71,188.60x = 106,746.78 × 23,786.68
  4. Step 4: Simplify right side
    71,188.60x = 2,539,151,496.89
  5. Step 5: Solve for x
    x = 2,539,151,496.89/71,188.60
  6. Step 6: Final answer
    x = 35,667.95

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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.