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Finding the Fourth Proportional to 81,812.44, 122,784.50 and 46,295.48

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Solution

The fourth proportional to 81,812.44, 122,784.50 and 46,295.48 is: 69,480.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812.44 : 122,784.50 = 46,295.48 : x
  2. Step 2: Convert to fraction form
    81,812.44/122,784.50 = 46,295.48/x
  3. Step 3: Cross multiply
    81,812.44x = 122,784.50 × 46,295.48
  4. Step 4: Simplify right side
    81,812.44x = 5,684,367,364.06
  5. Step 5: Solve for x
    x = 5,684,367,364.06/81,812.44
  6. Step 6: Final answer
    x = 69,480.48

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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.