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Finding the Fourth Proportional to 37,856.16, 52,243.86 and 20,860.38

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Solution

The fourth proportional to 37,856.16, 52,243.86 and 20,860.38 is: 28,788.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,856.16 : 52,243.86 = 20,860.38 : x
  2. Step 2: Convert to fraction form
    37,856.16/52,243.86 = 20,860.38/x
  3. Step 3: Cross multiply
    37,856.16x = 52,243.86 × 20,860.38
  4. Step 4: Simplify right side
    37,856.16x = 1,089,826,772.27
  5. Step 5: Solve for x
    x = 1,089,826,772.27/37,856.16
  6. Step 6: Final answer
    x = 28,788.62

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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.