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Finding the Fourth Proportional to 37,107.54, 55,660.50 and 9,027.72

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Solution

The fourth proportional to 37,107.54, 55,660.50 and 9,027.72 is: 13,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107.54 : 55,660.50 = 9,027.72 : x
  2. Step 2: Convert to fraction form
    37,107.54/55,660.50 = 9,027.72/x
  3. Step 3: Cross multiply
    37,107.54x = 55,660.50 × 9,027.72
  4. Step 4: Simplify right side
    37,107.54x = 502,487,409.06
  5. Step 5: Solve for x
    x = 502,487,409.06/37,107.54
  6. Step 6: Final answer
    x = 13,541.38

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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.