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Finding the Fourth Proportional to 30,649.53, 42,296.39 and 17,220.77

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Solution

The fourth proportional to 30,649.53, 42,296.39 and 17,220.77 is: 23,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.53 : 42,296.39 = 17,220.77 : x
  2. Step 2: Convert to fraction form
    30,649.53/42,296.39 = 17,220.77/x
  3. Step 3: Cross multiply
    30,649.53x = 42,296.39 × 17,220.77
  4. Step 4: Simplify right side
    30,649.53x = 728,376,567.54
  5. Step 5: Solve for x
    x = 728,376,567.54/30,649.53
  6. Step 6: Final answer
    x = 23,764.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.