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Finding the Fourth Proportional to 55,114.41, 82,672.02 and 13,561.41

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Solution

The fourth proportional to 55,114.41, 82,672.02 and 13,561.41 is: 20,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,114.41 : 82,672.02 = 13,561.41 : x
  2. Step 2: Convert to fraction form
    55,114.41/82,672.02 = 13,561.41/x
  3. Step 3: Cross multiply
    55,114.41x = 82,672.02 × 13,561.41
  4. Step 4: Simplify right side
    55,114.41x = 1,121,149,158.75
  5. Step 5: Solve for x
    x = 1,121,149,158.75/55,114.41
  6. Step 6: Final answer
    x = 20,342.21

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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.