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Finding the Fourth Proportional to 94,989.84, 142,481.92 and 38,814

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Solution

The fourth proportional to 94,989.84, 142,481.92 and 38,814 is: 58,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,989.84 : 142,481.92 = 38,814 : x
  2. Step 2: Convert to fraction form
    94,989.84/142,481.92 = 38,814/x
  3. Step 3: Cross multiply
    94,989.84x = 142,481.92 × 38,814
  4. Step 4: Simplify right side
    94,989.84x = 5,530,293,242.88
  5. Step 5: Solve for x
    x = 5,530,293,242.88/94,989.84
  6. Step 6: Final answer
    x = 58,219.84

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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.