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Finding the Fourth Proportional to 82,804.49, 114,266.79 and 46,993.85

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Solution

The fourth proportional to 82,804.49, 114,266.79 and 46,993.85 is: 64,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,804.49 : 114,266.79 = 46,993.85 : x
  2. Step 2: Convert to fraction form
    82,804.49/114,266.79 = 46,993.85/x
  3. Step 3: Cross multiply
    82,804.49x = 114,266.79 × 46,993.85
  4. Step 4: Simplify right side
    82,804.49x = 5,369,835,817.91
  5. Step 5: Solve for x
    x = 5,369,835,817.91/82,804.49
  6. Step 6: Final answer
    x = 64,849.58

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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.