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Finding the Fourth Proportional to 37,285.34, 55,911.54 and 19,751

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Solution

The fourth proportional to 37,285.34, 55,911.54 and 19,751 is: 29,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,285.34 : 55,911.54 = 19,751 : x
  2. Step 2: Convert to fraction form
    37,285.34/55,911.54 = 19,751/x
  3. Step 3: Cross multiply
    37,285.34x = 55,911.54 × 19,751
  4. Step 4: Simplify right side
    37,285.34x = 1,104,308,826.54
  5. Step 5: Solve for x
    x = 1,104,308,826.54/37,285.34
  6. Step 6: Final answer
    x = 29,617.78

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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.