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Finding the Fourth Proportional to 37,107.30, 55,667.70 and 12,140.40

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Solution

The fourth proportional to 37,107.30, 55,667.70 and 12,140.40 is: 18,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107.30 : 55,667.70 = 12,140.40 : x
  2. Step 2: Convert to fraction form
    37,107.30/55,667.70 = 12,140.40/x
  3. Step 3: Cross multiply
    37,107.30x = 55,667.70 × 12,140.40
  4. Step 4: Simplify right side
    37,107.30x = 675,828,145.08
  5. Step 5: Solve for x
    x = 675,828,145.08/37,107.30
  6. Step 6: Final answer
    x = 18,212.81

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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.