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Finding the Fourth Proportional to 82,633.48, 114,034.98 and 49,093

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Solution

The fourth proportional to 82,633.48, 114,034.98 and 49,093 is: 67,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,633.48 : 114,034.98 = 49,093 : x
  2. Step 2: Convert to fraction form
    82,633.48/114,034.98 = 49,093/x
  3. Step 3: Cross multiply
    82,633.48x = 114,034.98 × 49,093
  4. Step 4: Simplify right side
    82,633.48x = 5,598,319,273.14
  5. Step 5: Solve for x
    x = 5,598,319,273.14/82,633.48
  6. Step 6: Final answer
    x = 67,748.80

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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.