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Finding the Fourth Proportional to 81,407.64, 122,013 and 41,943.20

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Solution

The fourth proportional to 81,407.64, 122,013 and 41,943.20 is: 62,864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,407.64 : 122,013 = 41,943.20 : x
  2. Step 2: Convert to fraction form
    81,407.64/122,013 = 41,943.20/x
  3. Step 3: Cross multiply
    81,407.64x = 122,013 × 41,943.20
  4. Step 4: Simplify right side
    81,407.64x = 5,117,615,661.60
  5. Step 5: Solve for x
    x = 5,117,615,661.60/81,407.64
  6. Step 6: Final answer
    x = 62,864.07

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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.