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Finding the Fourth Proportional to 41,419, 62,129.94 and 13,716.28

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Solution

The fourth proportional to 41,419, 62,129.94 and 13,716.28 is: 20,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,419 : 62,129.94 = 13,716.28 : x
  2. Step 2: Convert to fraction form
    41,419/62,129.94 = 13,716.28/x
  3. Step 3: Cross multiply
    41,419x = 62,129.94 × 13,716.28
  4. Step 4: Simplify right side
    41,419x = 852,191,653.42
  5. Step 5: Solve for x
    x = 852,191,653.42/41,419
  6. Step 6: Final answer
    x = 20,574.90

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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.