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Finding the Fourth Proportional to 30,512.69, 42,105.52 and 17,083.82

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Solution

The fourth proportional to 30,512.69, 42,105.52 and 17,083.82 is: 23,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.69 : 42,105.52 = 17,083.82 : x
  2. Step 2: Convert to fraction form
    30,512.69/42,105.52 = 17,083.82/x
  3. Step 3: Cross multiply
    30,512.69x = 42,105.52 × 17,083.82
  4. Step 4: Simplify right side
    30,512.69x = 719,323,187.24
  5. Step 5: Solve for x
    x = 719,323,187.24/30,512.69
  6. Step 6: Final answer
    x = 23,574.56

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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.