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Finding the Fourth Proportional to 33,232.50, 49,858.16 and 13,525.20

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Solution

The fourth proportional to 33,232.50, 49,858.16 and 13,525.20 is: 20,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.50 : 49,858.16 = 13,525.20 : x
  2. Step 2: Convert to fraction form
    33,232.50/49,858.16 = 13,525.20/x
  3. Step 3: Cross multiply
    33,232.50x = 49,858.16 × 13,525.20
  4. Step 4: Simplify right side
    33,232.50x = 674,341,268.72
  5. Step 5: Solve for x
    x = 674,341,268.72/33,232.50
  6. Step 6: Final answer
    x = 20,291.62

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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.