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Finding the Fourth Proportional to 82,663, 114,074.67 and 44,936.98

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Solution

The fourth proportional to 82,663, 114,074.67 and 44,936.98 is: 62,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663 : 114,074.67 = 44,936.98 : x
  2. Step 2: Convert to fraction form
    82,663/114,074.67 = 44,936.98/x
  3. Step 3: Cross multiply
    82,663x = 114,074.67 × 44,936.98
  4. Step 4: Simplify right side
    82,663x = 5,126,171,164.30
  5. Step 5: Solve for x
    x = 5,126,171,164.30/82,663
  6. Step 6: Final answer
    x = 62,012.89

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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.