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Finding the Fourth Proportional to 30,805.72, 42,418.69 and 25,408.08

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Solution

The fourth proportional to 30,805.72, 42,418.69 and 25,408.08 is: 34,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.72 : 42,418.69 = 25,408.08 : x
  2. Step 2: Convert to fraction form
    30,805.72/42,418.69 = 25,408.08/x
  3. Step 3: Cross multiply
    30,805.72x = 42,418.69 × 25,408.08
  4. Step 4: Simplify right side
    30,805.72x = 1,077,777,405.50
  5. Step 5: Solve for x
    x = 1,077,777,405.50/30,805.72
  6. Step 6: Final answer
    x = 34,986.28

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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.