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Finding the Fourth Proportional to 82,522.50, 123,783.75 and 45,586.50

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Solution

The fourth proportional to 82,522.50, 123,783.75 and 45,586.50 is: 68,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,522.50 : 123,783.75 = 45,586.50 : x
  2. Step 2: Convert to fraction form
    82,522.50/123,783.75 = 45,586.50/x
  3. Step 3: Cross multiply
    82,522.50x = 123,783.75 × 45,586.50
  4. Step 4: Simplify right side
    82,522.50x = 5,642,867,919.38
  5. Step 5: Solve for x
    x = 5,642,867,919.38/82,522.50
  6. Step 6: Final answer
    x = 68,379.75

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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.