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Finding the Fourth Proportional to 37,505.40, 51,764.38 and 24,093.42

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Solution

The fourth proportional to 37,505.40, 51,764.38 and 24,093.42 is: 33,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,505.40 : 51,764.38 = 24,093.42 : x
  2. Step 2: Convert to fraction form
    37,505.40/51,764.38 = 24,093.42/x
  3. Step 3: Cross multiply
    37,505.40x = 51,764.38 × 24,093.42
  4. Step 4: Simplify right side
    37,505.40x = 1,247,180,888.15
  5. Step 5: Solve for x
    x = 1,247,180,888.15/37,505.40
  6. Step 6: Final answer
    x = 33,253.37

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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.