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Finding the Fourth Proportional to 35,414.44, 53,102 and 16,418.32

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Solution

The fourth proportional to 35,414.44, 53,102 and 16,418.32 is: 24,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.44 : 53,102 = 16,418.32 : x
  2. Step 2: Convert to fraction form
    35,414.44/53,102 = 16,418.32/x
  3. Step 3: Cross multiply
    35,414.44x = 53,102 × 16,418.32
  4. Step 4: Simplify right side
    35,414.44x = 871,845,628.64
  5. Step 5: Solve for x
    x = 871,845,628.64/35,414.44
  6. Step 6: Final answer
    x = 24,618.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.