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Finding the Fourth Proportional to 77,371.67, 116,075.01 and 27,451.82

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Solution

The fourth proportional to 77,371.67, 116,075.01 and 27,451.82 is: 41,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,371.67 : 116,075.01 = 27,451.82 : x
  2. Step 2: Convert to fraction form
    77,371.67/116,075.01 = 27,451.82/x
  3. Step 3: Cross multiply
    77,371.67x = 116,075.01 × 27,451.82
  4. Step 4: Simplify right side
    77,371.67x = 3,186,470,281.02
  5. Step 5: Solve for x
    x = 3,186,470,281.02/77,371.67
  6. Step 6: Final answer
    x = 41,183.94

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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.