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Finding the Fourth Proportional to 82,609.38, 114,010.67 and 49,075.38

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Solution

The fourth proportional to 82,609.38, 114,010.67 and 49,075.38 is: 67,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,609.38 : 114,010.67 = 49,075.38 : x
  2. Step 2: Convert to fraction form
    82,609.38/114,010.67 = 49,075.38/x
  3. Step 3: Cross multiply
    82,609.38x = 114,010.67 × 49,075.38
  4. Step 4: Simplify right side
    82,609.38x = 5,595,116,954.30
  5. Step 5: Solve for x
    x = 5,595,116,954.30/82,609.38
  6. Step 6: Final answer
    x = 67,729.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.