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Finding the Fourth Proportional to 51,249.81, 70,721.30 and 29,446.77

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Solution

The fourth proportional to 51,249.81, 70,721.30 and 29,446.77 is: 40,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,249.81 : 70,721.30 = 29,446.77 : x
  2. Step 2: Convert to fraction form
    51,249.81/70,721.30 = 29,446.77/x
  3. Step 3: Cross multiply
    51,249.81x = 70,721.30 × 29,446.77
  4. Step 4: Simplify right side
    51,249.81x = 2,082,514,194.02
  5. Step 5: Solve for x
    x = 2,082,514,194.02/51,249.81
  6. Step 6: Final answer
    x = 40,634.57

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