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Finding the Fourth Proportional to 71,903.82, 99,198.05 and 47,716.19

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Solution

The fourth proportional to 71,903.82, 99,198.05 and 47,716.19 is: 65,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,903.82 : 99,198.05 = 47,716.19 : x
  2. Step 2: Convert to fraction form
    71,903.82/99,198.05 = 47,716.19/x
  3. Step 3: Cross multiply
    71,903.82x = 99,198.05 × 47,716.19
  4. Step 4: Simplify right side
    71,903.82x = 4,733,352,266.86
  5. Step 5: Solve for x
    x = 4,733,352,266.86/71,903.82
  6. Step 6: Final answer
    x = 65,828.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.