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Finding the Fourth Proportional to 34,231.54, 47,239 and 19,124.41

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Solution

The fourth proportional to 34,231.54, 47,239 and 19,124.41 is: 26,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.54 : 47,239 = 19,124.41 : x
  2. Step 2: Convert to fraction form
    34,231.54/47,239 = 19,124.41/x
  3. Step 3: Cross multiply
    34,231.54x = 47,239 × 19,124.41
  4. Step 4: Simplify right side
    34,231.54x = 903,418,003.99
  5. Step 5: Solve for x
    x = 903,418,003.99/34,231.54
  6. Step 6: Final answer
    x = 26,391.39

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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.