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Finding the Fourth Proportional to 77,350.74, 116,037.22 and 29,337

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Solution

The fourth proportional to 77,350.74, 116,037.22 and 29,337 is: 44,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,350.74 : 116,037.22 = 29,337 : x
  2. Step 2: Convert to fraction form
    77,350.74/116,037.22 = 29,337/x
  3. Step 3: Cross multiply
    77,350.74x = 116,037.22 × 29,337
  4. Step 4: Simplify right side
    77,350.74x = 3,404,183,923.14
  5. Step 5: Solve for x
    x = 3,404,183,923.14/77,350.74
  6. Step 6: Final answer
    x = 44,009.71

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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.