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Finding the Fourth Proportional to 89,106.76, 133,659.90 and 39,824.20

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Solution

The fourth proportional to 89,106.76, 133,659.90 and 39,824.20 is: 59,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106.76 : 133,659.90 = 39,824.20 : x
  2. Step 2: Convert to fraction form
    89,106.76/133,659.90 = 39,824.20/x
  3. Step 3: Cross multiply
    89,106.76x = 133,659.90 × 39,824.20
  4. Step 4: Simplify right side
    89,106.76x = 5,322,898,589.58
  5. Step 5: Solve for x
    x = 5,322,898,589.58/89,106.76
  6. Step 6: Final answer
    x = 59,736.19

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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.