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Finding the Fourth Proportional to 77,497, 116,246.58 and 22,093

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Solution

The fourth proportional to 77,497, 116,246.58 and 22,093 is: 33,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497 : 116,246.58 = 22,093 : x
  2. Step 2: Convert to fraction form
    77,497/116,246.58 = 22,093/x
  3. Step 3: Cross multiply
    77,497x = 116,246.58 × 22,093
  4. Step 4: Simplify right side
    77,497x = 2,568,235,691.94
  5. Step 5: Solve for x
    x = 2,568,235,691.94/77,497
  6. Step 6: Final answer
    x = 33,139.81

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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.