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Finding the Fourth Proportional to 37,644.80, 56,452.86 and 12,678.14

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Solution

The fourth proportional to 37,644.80, 56,452.86 and 12,678.14 is: 19,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644.80 : 56,452.86 = 12,678.14 : x
  2. Step 2: Convert to fraction form
    37,644.80/56,452.86 = 12,678.14/x
  3. Step 3: Cross multiply
    37,644.80x = 56,452.86 × 12,678.14
  4. Step 4: Simplify right side
    37,644.80x = 715,717,262.48
  5. Step 5: Solve for x
    x = 715,717,262.48/37,644.80
  6. Step 6: Final answer
    x = 19,012.38

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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.