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Finding the Fourth Proportional to 30,435.24, 41,999.42 and 17,687.82

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Solution

The fourth proportional to 30,435.24, 41,999.42 and 17,687.82 is: 24,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.24 : 41,999.42 = 17,687.82 : x
  2. Step 2: Convert to fraction form
    30,435.24/41,999.42 = 17,687.82/x
  3. Step 3: Cross multiply
    30,435.24x = 41,999.42 × 17,687.82
  4. Step 4: Simplify right side
    30,435.24x = 742,878,059.48
  5. Step 5: Solve for x
    x = 742,878,059.48/30,435.24
  6. Step 6: Final answer
    x = 24,408.49

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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.