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Finding the Fourth Proportional to 30,586.79, 42,211.89 and 16,975.52

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Solution

The fourth proportional to 30,586.79, 42,211.89 and 16,975.52 is: 23,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.79 : 42,211.89 = 16,975.52 : x
  2. Step 2: Convert to fraction form
    30,586.79/42,211.89 = 16,975.52/x
  3. Step 3: Cross multiply
    30,586.79x = 42,211.89 × 16,975.52
  4. Step 4: Simplify right side
    30,586.79x = 716,568,571.87
  5. Step 5: Solve for x
    x = 716,568,571.87/30,586.79
  6. Step 6: Final answer
    x = 23,427.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.