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Finding the Fourth Proportional to 82,907.83, 114,380.33 and 51,021.37

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Solution

The fourth proportional to 82,907.83, 114,380.33 and 51,021.37 is: 70,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907.83 : 114,380.33 = 51,021.37 : x
  2. Step 2: Convert to fraction form
    82,907.83/114,380.33 = 51,021.37/x
  3. Step 3: Cross multiply
    82,907.83x = 114,380.33 × 51,021.37
  4. Step 4: Simplify right side
    82,907.83x = 5,835,840,596.59
  5. Step 5: Solve for x
    x = 5,835,840,596.59/82,907.83
  6. Step 6: Final answer
    x = 70,389.50

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