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Finding the Fourth Proportional to 84,096.12, 116,052.30 and 46,371

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Solution

The fourth proportional to 84,096.12, 116,052.30 and 46,371 is: 63,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096.12 : 116,052.30 = 46,371 : x
  2. Step 2: Convert to fraction form
    84,096.12/116,052.30 = 46,371/x
  3. Step 3: Cross multiply
    84,096.12x = 116,052.30 × 46,371
  4. Step 4: Simplify right side
    84,096.12x = 5,381,461,203.30
  5. Step 5: Solve for x
    x = 5,381,461,203.30/84,096.12
  6. Step 6: Final answer
    x = 63,991.79

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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.