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Finding the Fourth Proportional to 37,133.72, 51,157.90 and 30,380

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Solution

The fourth proportional to 37,133.72, 51,157.90 and 30,380 is: 41,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,133.72 : 51,157.90 = 30,380 : x
  2. Step 2: Convert to fraction form
    37,133.72/51,157.90 = 30,380/x
  3. Step 3: Cross multiply
    37,133.72x = 51,157.90 × 30,380
  4. Step 4: Simplify right side
    37,133.72x = 1,554,177,002
  5. Step 5: Solve for x
    x = 1,554,177,002/37,133.72
  6. Step 6: Final answer
    x = 41,853.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.