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Finding the Fourth Proportional to 33,505.87, 50,268.54 and 13,505.01

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Solution

The fourth proportional to 33,505.87, 50,268.54 and 13,505.01 is: 20,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,505.87 : 50,268.54 = 13,505.01 : x
  2. Step 2: Convert to fraction form
    33,505.87/50,268.54 = 13,505.01/x
  3. Step 3: Cross multiply
    33,505.87x = 50,268.54 × 13,505.01
  4. Step 4: Simplify right side
    33,505.87x = 678,877,079.29
  5. Step 5: Solve for x
    x = 678,877,079.29/33,505.87
  6. Step 6: Final answer
    x = 20,261.44

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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.