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Finding the Fourth Proportional to 37,188.56, 51,320 and 20,192.80

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Solution

The fourth proportional to 37,188.56, 51,320 and 20,192.80 is: 27,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,188.56 : 51,320 = 20,192.80 : x
  2. Step 2: Convert to fraction form
    37,188.56/51,320 = 20,192.80/x
  3. Step 3: Cross multiply
    37,188.56x = 51,320 × 20,192.80
  4. Step 4: Simplify right side
    37,188.56x = 1,036,294,496
  5. Step 5: Solve for x
    x = 1,036,294,496/37,188.56
  6. Step 6: Final answer
    x = 27,865.95

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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.