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Finding the Fourth Proportional to 34,137.82, 47,106.39 and 19,029.34

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Solution

The fourth proportional to 34,137.82, 47,106.39 and 19,029.34 is: 26,258.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,137.82 : 47,106.39 = 19,029.34 : x
  2. Step 2: Convert to fraction form
    34,137.82/47,106.39 = 19,029.34/x
  3. Step 3: Cross multiply
    34,137.82x = 47,106.39 × 19,029.34
  4. Step 4: Simplify right side
    34,137.82x = 896,403,511.48
  5. Step 5: Solve for x
    x = 896,403,511.48/34,137.82
  6. Step 6: Final answer
    x = 26,258.37

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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.