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Finding the Fourth Proportional to 37,647.60, 56,476.62 and 12,694.80

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Solution

The fourth proportional to 37,647.60, 56,476.62 and 12,694.80 is: 19,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,647.60 : 56,476.62 = 12,694.80 : x
  2. Step 2: Convert to fraction form
    37,647.60/56,476.62 = 12,694.80/x
  3. Step 3: Cross multiply
    37,647.60x = 56,476.62 × 12,694.80
  4. Step 4: Simplify right side
    37,647.60x = 716,959,395.58
  5. Step 5: Solve for x
    x = 716,959,395.58/37,647.60
  6. Step 6: Final answer
    x = 19,043.96

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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.