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Finding the Fourth Proportional to 101,784.43, 152,687.12 and 35,224.45

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Solution

The fourth proportional to 101,784.43, 152,687.12 and 35,224.45 is: 52,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.43 : 152,687.12 = 35,224.45 : x
  2. Step 2: Convert to fraction form
    101,784.43/152,687.12 = 35,224.45/x
  3. Step 3: Cross multiply
    101,784.43x = 152,687.12 × 35,224.45
  4. Step 4: Simplify right side
    101,784.43x = 5,378,319,824.08
  5. Step 5: Solve for x
    x = 5,378,319,824.08/101,784.43
  6. Step 6: Final answer
    x = 52,840.30

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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.