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Finding the Fourth Proportional to 82,019.37, 113,187.13 and 46,209.95

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Solution

The fourth proportional to 82,019.37, 113,187.13 and 46,209.95 is: 63,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,019.37 : 113,187.13 = 46,209.95 : x
  2. Step 2: Convert to fraction form
    82,019.37/113,187.13 = 46,209.95/x
  3. Step 3: Cross multiply
    82,019.37x = 113,187.13 × 46,209.95
  4. Step 4: Simplify right side
    82,019.37x = 5,230,371,617.94
  5. Step 5: Solve for x
    x = 5,230,371,617.94/82,019.37
  6. Step 6: Final answer
    x = 63,769.96

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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.