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Finding the Fourth Proportional to 37,769.65, 56,642.34 and 12,463.50

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Solution

The fourth proportional to 37,769.65, 56,642.34 and 12,463.50 is: 18,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,769.65 : 56,642.34 = 12,463.50 : x
  2. Step 2: Convert to fraction form
    37,769.65/56,642.34 = 12,463.50/x
  3. Step 3: Cross multiply
    37,769.65x = 56,642.34 × 12,463.50
  4. Step 4: Simplify right side
    37,769.65x = 705,961,804.59
  5. Step 5: Solve for x
    x = 705,961,804.59/37,769.65
  6. Step 6: Final answer
    x = 18,691.25

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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.