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Finding the Fourth Proportional to 37,837, 52,190.04 and 23,665.24

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Solution

The fourth proportional to 37,837, 52,190.04 and 23,665.24 is: 32,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,837 : 52,190.04 = 23,665.24 : x
  2. Step 2: Convert to fraction form
    37,837/52,190.04 = 23,665.24/x
  3. Step 3: Cross multiply
    37,837x = 52,190.04 × 23,665.24
  4. Step 4: Simplify right side
    37,837x = 1,235,089,822.21
  5. Step 5: Solve for x
    x = 1,235,089,822.21/37,837
  6. Step 6: Final answer
    x = 32,642.38

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Why These Related Problems?

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