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Finding the Fourth Proportional to 82,618.50, 114,013.53 and 49,084.50

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Solution

The fourth proportional to 82,618.50, 114,013.53 and 49,084.50 is: 67,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,618.50 : 114,013.53 = 49,084.50 : x
  2. Step 2: Convert to fraction form
    82,618.50/114,013.53 = 49,084.50/x
  3. Step 3: Cross multiply
    82,618.50x = 114,013.53 × 49,084.50
  4. Step 4: Simplify right side
    82,618.50x = 5,596,297,113.29
  5. Step 5: Solve for x
    x = 5,596,297,113.29/82,618.50
  6. Step 6: Final answer
    x = 67,736.61

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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.