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Finding the Fourth Proportional to 37,600.20, 51,889.32 and 20,833.20

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Solution

The fourth proportional to 37,600.20, 51,889.32 and 20,833.20 is: 28,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600.20 : 51,889.32 = 20,833.20 : x
  2. Step 2: Convert to fraction form
    37,600.20/51,889.32 = 20,833.20/x
  3. Step 3: Cross multiply
    37,600.20x = 51,889.32 × 20,833.20
  4. Step 4: Simplify right side
    37,600.20x = 1,081,020,581.42
  5. Step 5: Solve for x
    x = 1,081,020,581.42/37,600.20
  6. Step 6: Final answer
    x = 28,750.39

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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.