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Finding the Fourth Proportional to 41,205.50, 61,786.38 and 19,007.48

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Solution

The fourth proportional to 41,205.50, 61,786.38 and 19,007.48 is: 28,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205.50 : 61,786.38 = 19,007.48 : x
  2. Step 2: Convert to fraction form
    41,205.50/61,786.38 = 19,007.48/x
  3. Step 3: Cross multiply
    41,205.50x = 61,786.38 × 19,007.48
  4. Step 4: Simplify right side
    41,205.50x = 1,174,403,382.12
  5. Step 5: Solve for x
    x = 1,174,403,382.12/41,205.50
  6. Step 6: Final answer
    x = 28,501.13

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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.