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Finding the Fourth Proportional to 30,006.25, 41,408.63 and 17,431.81

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Solution

The fourth proportional to 30,006.25, 41,408.63 and 17,431.81 is: 24,055.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.25 : 41,408.63 = 17,431.81 : x
  2. Step 2: Convert to fraction form
    30,006.25/41,408.63 = 17,431.81/x
  3. Step 3: Cross multiply
    30,006.25x = 41,408.63 × 17,431.81
  4. Step 4: Simplify right side
    30,006.25x = 721,827,370.52
  5. Step 5: Solve for x
    x = 721,827,370.52/30,006.25
  6. Step 6: Final answer
    x = 24,055.90

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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.