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Finding the Fourth Proportional to 30,339.40, 41,863.62 and 16,906.36

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Solution

The fourth proportional to 30,339.40, 41,863.62 and 16,906.36 is: 23,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339.40 : 41,863.62 = 16,906.36 : x
  2. Step 2: Convert to fraction form
    30,339.40/41,863.62 = 16,906.36/x
  3. Step 3: Cross multiply
    30,339.40x = 41,863.62 × 16,906.36
  4. Step 4: Simplify right side
    30,339.40x = 707,761,430.62
  5. Step 5: Solve for x
    x = 707,761,430.62/30,339.40
  6. Step 6: Final answer
    x = 23,328.13

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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.