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Finding the Fourth Proportional to 35,142.96, 52,684.64 and 15,406.56

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Solution

The fourth proportional to 35,142.96, 52,684.64 and 15,406.56 is: 23,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.96 : 52,684.64 = 15,406.56 : x
  2. Step 2: Convert to fraction form
    35,142.96/52,684.64 = 15,406.56/x
  3. Step 3: Cross multiply
    35,142.96x = 52,684.64 × 15,406.56
  4. Step 4: Simplify right side
    35,142.96x = 811,689,067.24
  5. Step 5: Solve for x
    x = 811,689,067.24/35,142.96
  6. Step 6: Final answer
    x = 23,096.78

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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.