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Finding the Fourth Proportional to 35,114.75, 52,664.32 and 10,149.33

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Solution

The fourth proportional to 35,114.75, 52,664.32 and 10,149.33 is: 15,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.75 : 52,664.32 = 10,149.33 : x
  2. Step 2: Convert to fraction form
    35,114.75/52,664.32 = 10,149.33/x
  3. Step 3: Cross multiply
    35,114.75x = 52,664.32 × 10,149.33
  4. Step 4: Simplify right side
    35,114.75x = 534,507,562.91
  5. Step 5: Solve for x
    x = 534,507,562.91/35,114.75
  6. Step 6: Final answer
    x = 15,221.74

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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.