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Finding the Fourth Proportional to 81,596.57, 122,429.68 and 46,084.55

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Solution

The fourth proportional to 81,596.57, 122,429.68 and 46,084.55 is: 69,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,596.57 : 122,429.68 = 46,084.55 : x
  2. Step 2: Convert to fraction form
    81,596.57/122,429.68 = 46,084.55/x
  3. Step 3: Cross multiply
    81,596.57x = 122,429.68 × 46,084.55
  4. Step 4: Simplify right side
    81,596.57x = 5,642,115,982.08
  5. Step 5: Solve for x
    x = 5,642,115,982.08/81,596.57
  6. Step 6: Final answer
    x = 69,146.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.