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Finding the Fourth Proportional to 76,193.65, 105,146.08 and 41,738.11

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Solution

The fourth proportional to 76,193.65, 105,146.08 and 41,738.11 is: 57,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,193.65 : 105,146.08 = 41,738.11 : x
  2. Step 2: Convert to fraction form
    76,193.65/105,146.08 = 41,738.11/x
  3. Step 3: Cross multiply
    76,193.65x = 105,146.08 × 41,738.11
  4. Step 4: Simplify right side
    76,193.65x = 4,388,598,626.02
  5. Step 5: Solve for x
    x = 4,388,598,626.02/76,193.65
  6. Step 6: Final answer
    x = 57,597.95

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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.