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Finding the Fourth Proportional to 35,825.64, 53,738.30 and 12,452

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Solution

The fourth proportional to 35,825.64, 53,738.30 and 12,452 is: 18,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825.64 : 53,738.30 = 12,452 : x
  2. Step 2: Convert to fraction form
    35,825.64/53,738.30 = 12,452/x
  3. Step 3: Cross multiply
    35,825.64x = 53,738.30 × 12,452
  4. Step 4: Simplify right side
    35,825.64x = 669,149,311.60
  5. Step 5: Solve for x
    x = 669,149,311.60/35,825.64
  6. Step 6: Final answer
    x = 18,677.94

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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.