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Finding the Fourth Proportional to 37,291.50, 51,463.38 and 20,524.50

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Solution

The fourth proportional to 37,291.50, 51,463.38 and 20,524.50 is: 28,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,291.50 : 51,463.38 = 20,524.50 : x
  2. Step 2: Convert to fraction form
    37,291.50/51,463.38 = 20,524.50/x
  3. Step 3: Cross multiply
    37,291.50x = 51,463.38 × 20,524.50
  4. Step 4: Simplify right side
    37,291.50x = 1,056,260,142.81
  5. Step 5: Solve for x
    x = 1,056,260,142.81/37,291.50
  6. Step 6: Final answer
    x = 28,324.42

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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.