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Finding the Fourth Proportional to 34,115, 47,079.06 and 19,211

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Solution

The fourth proportional to 34,115, 47,079.06 and 19,211 is: 26,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115 : 47,079.06 = 19,211 : x
  2. Step 2: Convert to fraction form
    34,115/47,079.06 = 19,211/x
  3. Step 3: Cross multiply
    34,115x = 47,079.06 × 19,211
  4. Step 4: Simplify right side
    34,115x = 904,435,821.66
  5. Step 5: Solve for x
    x = 904,435,821.66/34,115
  6. Step 6: Final answer
    x = 26,511.38

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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.