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Finding the Fourth Proportional to 89,188.92, 133,719.30 and 44,783.64

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Solution

The fourth proportional to 89,188.92, 133,719.30 and 44,783.64 is: 67,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,188.92 : 133,719.30 = 44,783.64 : x
  2. Step 2: Convert to fraction form
    89,188.92/133,719.30 = 44,783.64/x
  3. Step 3: Cross multiply
    89,188.92x = 133,719.30 × 44,783.64
  4. Step 4: Simplify right side
    89,188.92x = 5,988,436,992.25
  5. Step 5: Solve for x
    x = 5,988,436,992.25/89,188.92
  6. Step 6: Final answer
    x = 67,143.28

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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.