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Finding the Fourth Proportional to 37,176.92, 51,302.40 and 20,180.78

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Solution

The fourth proportional to 37,176.92, 51,302.40 and 20,180.78 is: 27,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.92 : 51,302.40 = 20,180.78 : x
  2. Step 2: Convert to fraction form
    37,176.92/51,302.40 = 20,180.78/x
  3. Step 3: Cross multiply
    37,176.92x = 51,302.40 × 20,180.78
  4. Step 4: Simplify right side
    37,176.92x = 1,035,322,447.87
  5. Step 5: Solve for x
    x = 1,035,322,447.87/37,176.92
  6. Step 6: Final answer
    x = 27,848.53

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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.