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Finding the Fourth Proportional to 37,783.38, 56,680.02 and 12,474.48

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Solution

The fourth proportional to 37,783.38, 56,680.02 and 12,474.48 is: 18,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.38 : 56,680.02 = 12,474.48 : x
  2. Step 2: Convert to fraction form
    37,783.38/56,680.02 = 12,474.48/x
  3. Step 3: Cross multiply
    37,783.38x = 56,680.02 × 12,474.48
  4. Step 4: Simplify right side
    37,783.38x = 707,053,775.89
  5. Step 5: Solve for x
    x = 707,053,775.89/37,783.38
  6. Step 6: Final answer
    x = 18,713.35

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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.