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Finding the Fourth Proportional to 55,491.76, 76,578.52 and 29,998.14

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Solution

The fourth proportional to 55,491.76, 76,578.52 and 29,998.14 is: 41,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,491.76 : 76,578.52 = 29,998.14 : x
  2. Step 2: Convert to fraction form
    55,491.76/76,578.52 = 29,998.14/x
  3. Step 3: Cross multiply
    55,491.76x = 76,578.52 × 29,998.14
  4. Step 4: Simplify right side
    55,491.76x = 2,297,213,157.78
  5. Step 5: Solve for x
    x = 2,297,213,157.78/55,491.76
  6. Step 6: Final answer
    x = 41,397.38

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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.