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Finding the Fourth Proportional to 37,477.40, 56,232.30 and 17,745.80

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Solution

The fourth proportional to 37,477.40, 56,232.30 and 17,745.80 is: 26,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.40 : 56,232.30 = 17,745.80 : x
  2. Step 2: Convert to fraction form
    37,477.40/56,232.30 = 17,745.80/x
  3. Step 3: Cross multiply
    37,477.40x = 56,232.30 × 17,745.80
  4. Step 4: Simplify right side
    37,477.40x = 997,887,149.34
  5. Step 5: Solve for x
    x = 997,887,149.34/37,477.40
  6. Step 6: Final answer
    x = 26,626.37

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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.