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Finding the Fourth Proportional to 37,768.65, 56,640.84 and 12,462.50

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Solution

The fourth proportional to 37,768.65, 56,640.84 and 12,462.50 is: 18,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768.65 : 56,640.84 = 12,462.50 : x
  2. Step 2: Convert to fraction form
    37,768.65/56,640.84 = 12,462.50/x
  3. Step 3: Cross multiply
    37,768.65x = 56,640.84 × 12,462.50
  4. Step 4: Simplify right side
    37,768.65x = 705,886,185.30
  5. Step 5: Solve for x
    x = 705,886,185.30/37,768.65
  6. Step 6: Final answer
    x = 18,689.74

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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.