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Finding the Fourth Proportional to 34,536.78, 51,761.79 and 14,792.22

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Solution

The fourth proportional to 34,536.78, 51,761.79 and 14,792.22 is: 22,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536.78 : 51,761.79 = 14,792.22 : x
  2. Step 2: Convert to fraction form
    34,536.78/51,761.79 = 14,792.22/x
  3. Step 3: Cross multiply
    34,536.78x = 51,761.79 × 14,792.22
  4. Step 4: Simplify right side
    34,536.78x = 765,671,785.27
  5. Step 5: Solve for x
    x = 765,671,785.27/34,536.78
  6. Step 6: Final answer
    x = 22,169.75

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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.