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Finding the Fourth Proportional to 101,914.56, 152,873.64 and 35,356.84

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Solution

The fourth proportional to 101,914.56, 152,873.64 and 35,356.84 is: 53,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,914.56 : 152,873.64 = 35,356.84 : x
  2. Step 2: Convert to fraction form
    101,914.56/152,873.64 = 35,356.84/x
  3. Step 3: Cross multiply
    101,914.56x = 152,873.64 × 35,356.84
  4. Step 4: Simplify right side
    101,914.56x = 5,405,128,829.70
  5. Step 5: Solve for x
    x = 5,405,128,829.70/101,914.56
  6. Step 6: Final answer
    x = 53,035.88

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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.