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Finding the Fourth Proportional to 34,138, 47,110.92 and 19,234

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Solution

The fourth proportional to 34,138, 47,110.92 and 19,234 is: 26,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138 : 47,110.92 = 19,234 : x
  2. Step 2: Convert to fraction form
    34,138/47,110.92 = 19,234/x
  3. Step 3: Cross multiply
    34,138x = 47,110.92 × 19,234
  4. Step 4: Simplify right side
    34,138x = 906,131,435.28
  5. Step 5: Solve for x
    x = 906,131,435.28/34,138
  6. Step 6: Final answer
    x = 26,543.19

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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.