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Finding the Fourth Proportional to 37,846.80, 56,775.69 and 11,548.13

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Solution

The fourth proportional to 37,846.80, 56,775.69 and 11,548.13 is: 17,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,846.80 : 56,775.69 = 11,548.13 : x
  2. Step 2: Convert to fraction form
    37,846.80/56,775.69 = 11,548.13/x
  3. Step 3: Cross multiply
    37,846.80x = 56,775.69 × 11,548.13
  4. Step 4: Simplify right side
    37,846.80x = 655,652,765.08
  5. Step 5: Solve for x
    x = 655,652,765.08/37,846.80
  6. Step 6: Final answer
    x = 17,323.86

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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.