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Finding the Fourth Proportional to 52,195.56, 78,303.05 and 23,734.54

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Solution

The fourth proportional to 52,195.56, 78,303.05 and 23,734.54 is: 35,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195.56 : 78,303.05 = 23,734.54 : x
  2. Step 2: Convert to fraction form
    52,195.56/78,303.05 = 23,734.54/x
  3. Step 3: Cross multiply
    52,195.56x = 78,303.05 × 23,734.54
  4. Step 4: Simplify right side
    52,195.56x = 1,858,486,872.35
  5. Step 5: Solve for x
    x = 1,858,486,872.35/52,195.56
  6. Step 6: Final answer
    x = 35,606.23

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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.