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Finding the Fourth Proportional to 37,051.76, 55,583.40 and 12,422

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Solution

The fourth proportional to 37,051.76, 55,583.40 and 12,422 is: 18,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051.76 : 55,583.40 = 12,422 : x
  2. Step 2: Convert to fraction form
    37,051.76/55,583.40 = 12,422/x
  3. Step 3: Cross multiply
    37,051.76x = 55,583.40 × 12,422
  4. Step 4: Simplify right side
    37,051.76x = 690,456,994.80
  5. Step 5: Solve for x
    x = 690,456,994.80/37,051.76
  6. Step 6: Final answer
    x = 18,634.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.