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Finding the Fourth Proportional to 41,291.80, 61,942.24 and 13,205.25

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Solution

The fourth proportional to 41,291.80, 61,942.24 and 13,205.25 is: 19,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,291.80 : 61,942.24 = 13,205.25 : x
  2. Step 2: Convert to fraction form
    41,291.80/61,942.24 = 13,205.25/x
  3. Step 3: Cross multiply
    41,291.80x = 61,942.24 × 13,205.25
  4. Step 4: Simplify right side
    41,291.80x = 817,962,881.20
  5. Step 5: Solve for x
    x = 817,962,881.20/41,291.80
  6. Step 6: Final answer
    x = 19,809.33

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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.