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Finding the Fourth Proportional to 84,742.84, 116,942.34 and 47,019.88

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Solution

The fourth proportional to 84,742.84, 116,942.34 and 47,019.88 is: 64,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,742.84 : 116,942.34 = 47,019.88 : x
  2. Step 2: Convert to fraction form
    84,742.84/116,942.34 = 47,019.88/x
  3. Step 3: Cross multiply
    84,742.84x = 116,942.34 × 47,019.88
  4. Step 4: Simplify right side
    84,742.84x = 5,498,614,793.72
  5. Step 5: Solve for x
    x = 5,498,614,793.72/84,742.84
  6. Step 6: Final answer
    x = 64,885.89

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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.