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Finding the Fourth Proportional to 29,705.68, 40,999.62 and 19,634.68

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Solution

The fourth proportional to 29,705.68, 40,999.62 and 19,634.68 is: 27,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705.68 : 40,999.62 = 19,634.68 : x
  2. Step 2: Convert to fraction form
    29,705.68/40,999.62 = 19,634.68/x
  3. Step 3: Cross multiply
    29,705.68x = 40,999.62 × 19,634.68
  4. Step 4: Simplify right side
    29,705.68x = 805,014,418.82
  5. Step 5: Solve for x
    x = 805,014,418.82/29,705.68
  6. Step 6: Final answer
    x = 27,099.68

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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.