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Finding the Fourth Proportional to 81,810.44, 122,781.50 and 46,293.48

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Solution

The fourth proportional to 81,810.44, 122,781.50 and 46,293.48 is: 69,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,810.44 : 122,781.50 = 46,293.48 : x
  2. Step 2: Convert to fraction form
    81,810.44/122,781.50 = 46,293.48/x
  3. Step 3: Cross multiply
    81,810.44x = 122,781.50 × 46,293.48
  4. Step 4: Simplify right side
    81,810.44x = 5,683,982,914.62
  5. Step 5: Solve for x
    x = 5,683,982,914.62/81,810.44
  6. Step 6: Final answer
    x = 69,477.48

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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.