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Finding the Fourth Proportional to 37,638.62, 56,460.72 and 12,678.56

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Solution

The fourth proportional to 37,638.62, 56,460.72 and 12,678.56 is: 19,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638.62 : 56,460.72 = 12,678.56 : x
  2. Step 2: Convert to fraction form
    37,638.62/56,460.72 = 12,678.56/x
  3. Step 3: Cross multiply
    37,638.62x = 56,460.72 × 12,678.56
  4. Step 4: Simplify right side
    37,638.62x = 715,840,626.16
  5. Step 5: Solve for x
    x = 715,840,626.16/37,638.62
  6. Step 6: Final answer
    x = 19,018.78

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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.