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Finding the Fourth Proportional to 82,632.48, 114,033.60 and 49,092

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Solution

The fourth proportional to 82,632.48, 114,033.60 and 49,092 is: 67,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,632.48 : 114,033.60 = 49,092 : x
  2. Step 2: Convert to fraction form
    82,632.48/114,033.60 = 49,092/x
  3. Step 3: Cross multiply
    82,632.48x = 114,033.60 × 49,092
  4. Step 4: Simplify right side
    82,632.48x = 5,598,137,491.20
  5. Step 5: Solve for x
    x = 5,598,137,491.20/82,632.48
  6. Step 6: Final answer
    x = 67,747.42

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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.