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Finding the Fourth Proportional to 37,745.82, 56,627.10 and 12,783.78

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Solution

The fourth proportional to 37,745.82, 56,627.10 and 12,783.78 is: 19,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,745.82 : 56,627.10 = 12,783.78 : x
  2. Step 2: Convert to fraction form
    37,745.82/56,627.10 = 12,783.78/x
  3. Step 3: Cross multiply
    37,745.82x = 56,627.10 × 12,783.78
  4. Step 4: Simplify right side
    37,745.82x = 723,908,388.44
  5. Step 5: Solve for x
    x = 723,908,388.44/37,745.82
  6. Step 6: Final answer
    x = 19,178.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.