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Finding the Fourth Proportional to 35,144.68, 52,708.72 and 12,946

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Solution

The fourth proportional to 35,144.68, 52,708.72 and 12,946 is: 19,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,144.68 : 52,708.72 = 12,946 : x
  2. Step 2: Convert to fraction form
    35,144.68/52,708.72 = 12,946/x
  3. Step 3: Cross multiply
    35,144.68x = 52,708.72 × 12,946
  4. Step 4: Simplify right side
    35,144.68x = 682,367,089.12
  5. Step 5: Solve for x
    x = 682,367,089.12/35,144.68
  6. Step 6: Final answer
    x = 19,415.94

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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.