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Finding the Fourth Proportional to 34,102, 47,060.76 and 19,198

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Solution

The fourth proportional to 34,102, 47,060.76 and 19,198 is: 26,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102 : 47,060.76 = 19,198 : x
  2. Step 2: Convert to fraction form
    34,102/47,060.76 = 19,198/x
  3. Step 3: Cross multiply
    34,102x = 47,060.76 × 19,198
  4. Step 4: Simplify right side
    34,102x = 903,472,470.48
  5. Step 5: Solve for x
    x = 903,472,470.48/34,102
  6. Step 6: Final answer
    x = 26,493.24

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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.