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Finding the Fourth Proportional to 37,608.50, 56,369.01 and 37,192.97

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Solution

The fourth proportional to 37,608.50, 56,369.01 and 37,192.97 is: 55,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,608.50 : 56,369.01 = 37,192.97 : x
  2. Step 2: Convert to fraction form
    37,608.50/56,369.01 = 37,192.97/x
  3. Step 3: Cross multiply
    37,608.50x = 56,369.01 × 37,192.97
  4. Step 4: Simplify right side
    37,608.50x = 2,096,531,178.26
  5. Step 5: Solve for x
    x = 2,096,531,178.26/37,608.50
  6. Step 6: Final answer
    x = 55,746.20

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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.