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Finding the Fourth Proportional to 82,490.13, 113,836.32 and 46,679.49

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Solution

The fourth proportional to 82,490.13, 113,836.32 and 46,679.49 is: 64,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,490.13 : 113,836.32 = 46,679.49 : x
  2. Step 2: Convert to fraction form
    82,490.13/113,836.32 = 46,679.49/x
  3. Step 3: Cross multiply
    82,490.13x = 113,836.32 × 46,679.49
  4. Step 4: Simplify right side
    82,490.13x = 5,313,821,361.08
  5. Step 5: Solve for x
    x = 5,313,821,361.08/82,490.13
  6. Step 6: Final answer
    x = 64,417.66

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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.