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Finding the Fourth Proportional to 81,025.16, 111,820.32 and 45,222.14

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Solution

The fourth proportional to 81,025.16, 111,820.32 and 45,222.14 is: 62,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,025.16 : 111,820.32 = 45,222.14 : x
  2. Step 2: Convert to fraction form
    81,025.16/111,820.32 = 45,222.14/x
  3. Step 3: Cross multiply
    81,025.16x = 111,820.32 × 45,222.14
  4. Step 4: Simplify right side
    81,025.16x = 5,056,754,165.88
  5. Step 5: Solve for x
    x = 5,056,754,165.88/81,025.16
  6. Step 6: Final answer
    x = 62,409.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.