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Finding the Fourth Proportional to 30,511.31, 42,102.92 and 17,933.63

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Solution

The fourth proportional to 30,511.31, 42,102.92 and 17,933.63 is: 24,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.31 : 42,102.92 = 17,933.63 : x
  2. Step 2: Convert to fraction form
    30,511.31/42,102.92 = 17,933.63/x
  3. Step 3: Cross multiply
    30,511.31x = 42,102.92 × 17,933.63
  4. Step 4: Simplify right side
    30,511.31x = 755,058,023.52
  5. Step 5: Solve for x
    x = 755,058,023.52/30,511.31
  6. Step 6: Final answer
    x = 24,746.83

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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.