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Finding the Fourth Proportional to 37,826, 56,744.76 and 12,858.32

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Solution

The fourth proportional to 37,826, 56,744.76 and 12,858.32 is: 19,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,826 : 56,744.76 = 12,858.32 : x
  2. Step 2: Convert to fraction form
    37,826/56,744.76 = 12,858.32/x
  3. Step 3: Cross multiply
    37,826x = 56,744.76 × 12,858.32
  4. Step 4: Simplify right side
    37,826x = 729,642,282.40
  5. Step 5: Solve for x
    x = 729,642,282.40/37,826
  6. Step 6: Final answer
    x = 19,289.44

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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.