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Finding the Fourth Proportional to 89,099.66, 133,649.50 and 35,815.88

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Solution

The fourth proportional to 89,099.66, 133,649.50 and 35,815.88 is: 53,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,099.66 : 133,649.50 = 35,815.88 : x
  2. Step 2: Convert to fraction form
    89,099.66/133,649.50 = 35,815.88/x
  3. Step 3: Cross multiply
    89,099.66x = 133,649.50 × 35,815.88
  4. Step 4: Simplify right side
    89,099.66x = 4,786,774,454.06
  5. Step 5: Solve for x
    x = 4,786,774,454.06/89,099.66
  6. Step 6: Final answer
    x = 53,723.82

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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.