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Finding the Fourth Proportional to 37,120, 55,540.50 and 26,048.29

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Solution

The fourth proportional to 37,120, 55,540.50 and 26,048.29 is: 38,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,120 : 55,540.50 = 26,048.29 : x
  2. Step 2: Convert to fraction form
    37,120/55,540.50 = 26,048.29/x
  3. Step 3: Cross multiply
    37,120x = 55,540.50 × 26,048.29
  4. Step 4: Simplify right side
    37,120x = 1,446,735,050.75
  5. Step 5: Solve for x
    x = 1,446,735,050.75/37,120
  6. Step 6: Final answer
    x = 38,974.54

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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.