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Finding the Fourth Proportional to 37,770.65, 56,643.84 and 12,464.50

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Solution

The fourth proportional to 37,770.65, 56,643.84 and 12,464.50 is: 18,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,770.65 : 56,643.84 = 12,464.50 : x
  2. Step 2: Convert to fraction form
    37,770.65/56,643.84 = 12,464.50/x
  3. Step 3: Cross multiply
    37,770.65x = 56,643.84 × 12,464.50
  4. Step 4: Simplify right side
    37,770.65x = 706,037,143.68
  5. Step 5: Solve for x
    x = 706,037,143.68/37,770.65
  6. Step 6: Final answer
    x = 18,692.75

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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.