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Finding the Fourth Proportional to 100,596.74, 150,914.85 and 34,056.05

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Solution

The fourth proportional to 100,596.74, 150,914.85 and 34,056.05 is: 51,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.74 : 150,914.85 = 34,056.05 : x
  2. Step 2: Convert to fraction form
    100,596.74/150,914.85 = 34,056.05/x
  3. Step 3: Cross multiply
    100,596.74x = 150,914.85 × 34,056.05
  4. Step 4: Simplify right side
    100,596.74x = 5,139,562,795.06
  5. Step 5: Solve for x
    x = 5,139,562,795.06/100,596.74
  6. Step 6: Final answer
    x = 51,090.75

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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.