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Finding the Fourth Proportional to 82,417.50, 123,632.73 and 35,670.78

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Solution

The fourth proportional to 82,417.50, 123,632.73 and 35,670.78 is: 53,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,417.50 : 123,632.73 = 35,670.78 : x
  2. Step 2: Convert to fraction form
    82,417.50/123,632.73 = 35,670.78/x
  3. Step 3: Cross multiply
    82,417.50x = 123,632.73 × 35,670.78
  4. Step 4: Simplify right side
    82,417.50x = 4,410,075,912.63
  5. Step 5: Solve for x
    x = 4,410,075,912.63/82,417.50
  6. Step 6: Final answer
    x = 53,508.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.