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Finding the Fourth Proportional to 34,772.66, 52,168.71 and 11,415.50

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Solution

The fourth proportional to 34,772.66, 52,168.71 and 11,415.50 is: 17,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.66 : 52,168.71 = 11,415.50 : x
  2. Step 2: Convert to fraction form
    34,772.66/52,168.71 = 11,415.50/x
  3. Step 3: Cross multiply
    34,772.66x = 52,168.71 × 11,415.50
  4. Step 4: Simplify right side
    34,772.66x = 595,531,648.16
  5. Step 5: Solve for x
    x = 595,531,648.16/34,772.66
  6. Step 6: Final answer
    x = 17,126.44

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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.