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Finding the Fourth Proportional to 35,138.09, 52,714.19 and 12,951.58

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Solution

The fourth proportional to 35,138.09, 52,714.19 and 12,951.58 is: 19,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,138.09 : 52,714.19 = 12,951.58 : x
  2. Step 2: Convert to fraction form
    35,138.09/52,714.19 = 12,951.58/x
  3. Step 3: Cross multiply
    35,138.09x = 52,714.19 × 12,951.58
  4. Step 4: Simplify right side
    35,138.09x = 682,732,048.92
  5. Step 5: Solve for x
    x = 682,732,048.92/35,138.09
  6. Step 6: Final answer
    x = 19,429.97

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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.