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Finding the Fourth Proportional to 99,677.92, 149,491.41 and 29,540.86

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Solution

The fourth proportional to 99,677.92, 149,491.41 and 29,540.86 is: 44,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,677.92 : 149,491.41 = 29,540.86 : x
  2. Step 2: Convert to fraction form
    99,677.92/149,491.41 = 29,540.86/x
  3. Step 3: Cross multiply
    99,677.92x = 149,491.41 × 29,540.86
  4. Step 4: Simplify right side
    99,677.92x = 4,416,104,814.01
  5. Step 5: Solve for x
    x = 4,416,104,814.01/99,677.92
  6. Step 6: Final answer
    x = 44,303.74

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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.