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Finding the Fourth Proportional to 37,102.85, 51,213.56 and 23,674.08

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Solution

The fourth proportional to 37,102.85, 51,213.56 and 23,674.08 is: 32,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.85 : 51,213.56 = 23,674.08 : x
  2. Step 2: Convert to fraction form
    37,102.85/51,213.56 = 23,674.08/x
  3. Step 3: Cross multiply
    37,102.85x = 51,213.56 × 23,674.08
  4. Step 4: Simplify right side
    37,102.85x = 1,212,433,975.71
  5. Step 5: Solve for x
    x = 1,212,433,975.71/37,102.85
  6. Step 6: Final answer
    x = 32,677.65

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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.