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Finding the Fourth Proportional to 34,743.16, 47,945.44 and 18,828

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Solution

The fourth proportional to 34,743.16, 47,945.44 and 18,828 is: 25,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,743.16 : 47,945.44 = 18,828 : x
  2. Step 2: Convert to fraction form
    34,743.16/47,945.44 = 18,828/x
  3. Step 3: Cross multiply
    34,743.16x = 47,945.44 × 18,828
  4. Step 4: Simplify right side
    34,743.16x = 902,716,744.32
  5. Step 5: Solve for x
    x = 902,716,744.32/34,743.16
  6. Step 6: Final answer
    x = 25,982.57

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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.