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Finding the Fourth Proportional to 37,155.31, 55,730.23 and 12,194.96

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Solution

The fourth proportional to 37,155.31, 55,730.23 and 12,194.96 is: 18,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,155.31 : 55,730.23 = 12,194.96 : x
  2. Step 2: Convert to fraction form
    37,155.31/55,730.23 = 12,194.96/x
  3. Step 3: Cross multiply
    37,155.31x = 55,730.23 × 12,194.96
  4. Step 4: Simplify right side
    37,155.31x = 679,627,616.50
  5. Step 5: Solve for x
    x = 679,627,616.50/37,155.31
  6. Step 6: Final answer
    x = 18,291.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.