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Finding the Fourth Proportional to 30,434.88, 41,999.34 and 17,005.68

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Solution

The fourth proportional to 30,434.88, 41,999.34 and 17,005.68 is: 23,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.88 : 41,999.34 = 17,005.68 : x
  2. Step 2: Convert to fraction form
    30,434.88/41,999.34 = 17,005.68/x
  3. Step 3: Cross multiply
    30,434.88x = 41,999.34 × 17,005.68
  4. Step 4: Simplify right side
    30,434.88x = 714,227,336.25
  5. Step 5: Solve for x
    x = 714,227,336.25/30,434.88
  6. Step 6: Final answer
    x = 23,467.39

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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.