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Finding the Fourth Proportional to 27,382.54, 41,010.90 and 17,386.56

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Solution

The fourth proportional to 27,382.54, 41,010.90 and 17,386.56 is: 26,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.54 : 41,010.90 = 17,386.56 : x
  2. Step 2: Convert to fraction form
    27,382.54/41,010.90 = 17,386.56/x
  3. Step 3: Cross multiply
    27,382.54x = 41,010.90 × 17,386.56
  4. Step 4: Simplify right side
    27,382.54x = 713,038,473.50
  5. Step 5: Solve for x
    x = 713,038,473.50/27,382.54
  6. Step 6: Final answer
    x = 26,039.90

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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.