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Finding the Fourth Proportional to 34,958.56, 48,243.34 and 19,043

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Solution

The fourth proportional to 34,958.56, 48,243.34 and 19,043 is: 26,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,958.56 : 48,243.34 = 19,043 : x
  2. Step 2: Convert to fraction form
    34,958.56/48,243.34 = 19,043/x
  3. Step 3: Cross multiply
    34,958.56x = 48,243.34 × 19,043
  4. Step 4: Simplify right side
    34,958.56x = 918,697,923.62
  5. Step 5: Solve for x
    x = 918,697,923.62/34,958.56
  6. Step 6: Final answer
    x = 26,279.63

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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.