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Finding the Fourth Proportional to 30,591.22, 42,216.30 and 17,161.68

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Solution

The fourth proportional to 30,591.22, 42,216.30 and 17,161.68 is: 23,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.22 : 42,216.30 = 17,161.68 : x
  2. Step 2: Convert to fraction form
    30,591.22/42,216.30 = 17,161.68/x
  3. Step 3: Cross multiply
    30,591.22x = 42,216.30 × 17,161.68
  4. Step 4: Simplify right side
    30,591.22x = 724,502,377.40
  5. Step 5: Solve for x
    x = 724,502,377.40/30,591.22
  6. Step 6: Final answer
    x = 23,683.34

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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.