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Finding the Fourth Proportional to 101,784.40, 152,687.07 and 35,224.43

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Solution

The fourth proportional to 101,784.40, 152,687.07 and 35,224.43 is: 52,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.40 : 152,687.07 = 35,224.43 : x
  2. Step 2: Convert to fraction form
    101,784.40/152,687.07 = 35,224.43/x
  3. Step 3: Cross multiply
    101,784.40x = 152,687.07 × 35,224.43
  4. Step 4: Simplify right side
    101,784.40x = 5,378,314,245.68
  5. Step 5: Solve for x
    x = 5,378,314,245.68/101,784.40
  6. Step 6: Final answer
    x = 52,840.26

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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.