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Finding the Fourth Proportional to 37,097.36, 55,648.26 and 12,140

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Solution

The fourth proportional to 37,097.36, 55,648.26 and 12,140 is: 18,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.36 : 55,648.26 = 12,140 : x
  2. Step 2: Convert to fraction form
    37,097.36/55,648.26 = 12,140/x
  3. Step 3: Cross multiply
    37,097.36x = 55,648.26 × 12,140
  4. Step 4: Simplify right side
    37,097.36x = 675,569,876.40
  5. Step 5: Solve for x
    x = 675,569,876.40/37,097.36
  6. Step 6: Final answer
    x = 18,210.73

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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.