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Finding the Fourth Proportional to 34,738.54, 47,939.24 and 18,823

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Solution

The fourth proportional to 34,738.54, 47,939.24 and 18,823 is: 25,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,738.54 : 47,939.24 = 18,823 : x
  2. Step 2: Convert to fraction form
    34,738.54/47,939.24 = 18,823/x
  3. Step 3: Cross multiply
    34,738.54x = 47,939.24 × 18,823
  4. Step 4: Simplify right side
    34,738.54x = 902,360,314.52
  5. Step 5: Solve for x
    x = 902,360,314.52/34,738.54
  6. Step 6: Final answer
    x = 25,975.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.