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Finding the Fourth Proportional to 30,761.41, 46,127.67 and 18,283.09

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Solution

The fourth proportional to 30,761.41, 46,127.67 and 18,283.09 is: 27,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.41 : 46,127.67 = 18,283.09 : x
  2. Step 2: Convert to fraction form
    30,761.41/46,127.67 = 18,283.09/x
  3. Step 3: Cross multiply
    30,761.41x = 46,127.67 × 18,283.09
  4. Step 4: Simplify right side
    30,761.41x = 843,356,342.10
  5. Step 5: Solve for x
    x = 843,356,342.10/30,761.41
  6. Step 6: Final answer
    x = 27,416.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.