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Finding the Fourth Proportional to 27,661.84, 41,509.17 and 25,910.54

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Solution

The fourth proportional to 27,661.84, 41,509.17 and 25,910.54 is: 38,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.84 : 41,509.17 = 25,910.54 : x
  2. Step 2: Convert to fraction form
    27,661.84/41,509.17 = 25,910.54/x
  3. Step 3: Cross multiply
    27,661.84x = 41,509.17 × 25,910.54
  4. Step 4: Simplify right side
    27,661.84x = 1,075,524,802.11
  5. Step 5: Solve for x
    x = 1,075,524,802.11/27,661.84
  6. Step 6: Final answer
    x = 38,881.17

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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.