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Finding the Fourth Proportional to 81,022.30, 111,814.36 and 45,212.46

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Solution

The fourth proportional to 81,022.30, 111,814.36 and 45,212.46 is: 62,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,022.30 : 111,814.36 = 45,212.46 : x
  2. Step 2: Convert to fraction form
    81,022.30/111,814.36 = 45,212.46/x
  3. Step 3: Cross multiply
    81,022.30x = 111,814.36 × 45,212.46
  4. Step 4: Simplify right side
    81,022.30x = 5,055,402,278.93
  5. Step 5: Solve for x
    x = 5,055,402,278.93/81,022.30
  6. Step 6: Final answer
    x = 62,395.20

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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.