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Finding the Fourth Proportional to 37,648.26, 56,477.30 and 11,355.66

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Solution

The fourth proportional to 37,648.26, 56,477.30 and 11,355.66 is: 17,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.26 : 56,477.30 = 11,355.66 : x
  2. Step 2: Convert to fraction form
    37,648.26/56,477.30 = 11,355.66/x
  3. Step 3: Cross multiply
    37,648.26x = 56,477.30 × 11,355.66
  4. Step 4: Simplify right side
    37,648.26x = 641,337,016.52
  5. Step 5: Solve for x
    x = 641,337,016.52/37,648.26
  6. Step 6: Final answer
    x = 17,034.97

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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.