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Finding the Fourth Proportional to 103,244.20, 154,804.34 and 35,754

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Solution

The fourth proportional to 103,244.20, 154,804.34 and 35,754 is: 53,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,244.20 : 154,804.34 = 35,754 : x
  2. Step 2: Convert to fraction form
    103,244.20/154,804.34 = 35,754/x
  3. Step 3: Cross multiply
    103,244.20x = 154,804.34 × 35,754
  4. Step 4: Simplify right side
    103,244.20x = 5,534,874,372.36
  5. Step 5: Solve for x
    x = 5,534,874,372.36/103,244.20
  6. Step 6: Final answer
    x = 53,609.54

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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.