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Finding the Fourth Proportional to 30,745.68, 42,416.71 and 18,788.25

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Solution

The fourth proportional to 30,745.68, 42,416.71 and 18,788.25 is: 25,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,745.68 : 42,416.71 = 18,788.25 : x
  2. Step 2: Convert to fraction form
    30,745.68/42,416.71 = 18,788.25/x
  3. Step 3: Cross multiply
    30,745.68x = 42,416.71 × 18,788.25
  4. Step 4: Simplify right side
    30,745.68x = 796,935,969.43
  5. Step 5: Solve for x
    x = 796,935,969.43/30,745.68
  6. Step 6: Final answer
    x = 25,920.26

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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.