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Finding the Fourth Proportional to 82,019.56, 113,186.47 and 46,221.07

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Solution

The fourth proportional to 82,019.56, 113,186.47 and 46,221.07 is: 63,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019.56 : 113,186.47 = 46,221.07 : x
  2. Step 2: Convert to fraction form
    82,019.56/113,186.47 = 46,221.07/x
  3. Step 3: Cross multiply
    82,019.56x = 113,186.47 × 46,221.07
  4. Step 4: Simplify right side
    82,019.56x = 5,231,599,752.92
  5. Step 5: Solve for x
    x = 5,231,599,752.92/82,019.56
  6. Step 6: Final answer
    x = 63,784.78

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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.