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Finding the Fourth Proportional to 82,699.89, 114,122.37 and 46,892.31

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Solution

The fourth proportional to 82,699.89, 114,122.37 and 46,892.31 is: 64,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,699.89 : 114,122.37 = 46,892.31 : x
  2. Step 2: Convert to fraction form
    82,699.89/114,122.37 = 46,892.31/x
  3. Step 3: Cross multiply
    82,699.89x = 114,122.37 × 46,892.31
  4. Step 4: Simplify right side
    82,699.89x = 5,351,461,551.97
  5. Step 5: Solve for x
    x = 5,351,461,551.97/82,699.89
  6. Step 6: Final answer
    x = 64,709.42

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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.