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Finding the Fourth Proportional to 41,557, 62,338.76 and 13,855

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Solution

The fourth proportional to 41,557, 62,338.76 and 13,855 is: 20,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,557 : 62,338.76 = 13,855 : x
  2. Step 2: Convert to fraction form
    41,557/62,338.76 = 13,855/x
  3. Step 3: Cross multiply
    41,557x = 62,338.76 × 13,855
  4. Step 4: Simplify right side
    41,557x = 863,703,519.80
  5. Step 5: Solve for x
    x = 863,703,519.80/41,557
  6. Step 6: Final answer
    x = 20,783.59

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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.