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Finding the Fourth Proportional to 82,221.65, 113,463.47 and 46,414.99

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Solution

The fourth proportional to 82,221.65, 113,463.47 and 46,414.99 is: 64,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.65 : 113,463.47 = 46,414.99 : x
  2. Step 2: Convert to fraction form
    82,221.65/113,463.47 = 46,414.99/x
  3. Step 3: Cross multiply
    82,221.65x = 113,463.47 × 46,414.99
  4. Step 4: Simplify right side
    82,221.65x = 5,266,405,825.42
  5. Step 5: Solve for x
    x = 5,266,405,825.42/82,221.65
  6. Step 6: Final answer
    x = 64,051.33

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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.