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Finding the Fourth Proportional to 81,343.20, 122,018.58 and 28,758

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Solution

The fourth proportional to 81,343.20, 122,018.58 and 28,758 is: 43,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,343.20 : 122,018.58 = 28,758 : x
  2. Step 2: Convert to fraction form
    81,343.20/122,018.58 = 28,758/x
  3. Step 3: Cross multiply
    81,343.20x = 122,018.58 × 28,758
  4. Step 4: Simplify right side
    81,343.20x = 3,509,010,323.64
  5. Step 5: Solve for x
    x = 3,509,010,323.64/81,343.20
  6. Step 6: Final answer
    x = 43,138.34

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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.