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Finding the Fourth Proportional to 30,716.74, 46,034.88 and 29,944

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Solution

The fourth proportional to 30,716.74, 46,034.88 and 29,944 is: 44,876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716.74 : 46,034.88 = 29,944 : x
  2. Step 2: Convert to fraction form
    30,716.74/46,034.88 = 29,944/x
  3. Step 3: Cross multiply
    30,716.74x = 46,034.88 × 29,944
  4. Step 4: Simplify right side
    30,716.74x = 1,378,468,446.72
  5. Step 5: Solve for x
    x = 1,378,468,446.72/30,716.74
  6. Step 6: Final answer
    x = 44,876.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.