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Finding the Fourth Proportional to 93,989.61, 140,956.65 and 27,408.78

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Solution

The fourth proportional to 93,989.61, 140,956.65 and 27,408.78 is: 41,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,989.61 : 140,956.65 = 27,408.78 : x
  2. Step 2: Convert to fraction form
    93,989.61/140,956.65 = 27,408.78/x
  3. Step 3: Cross multiply
    93,989.61x = 140,956.65 × 27,408.78
  4. Step 4: Simplify right side
    93,989.61x = 3,863,449,809.39
  5. Step 5: Solve for x
    x = 3,863,449,809.39/93,989.61
  6. Step 6: Final answer
    x = 41,105.07

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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.