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Finding the Fourth Proportional to 110,885.84, 166,447.18 and 47,737.27

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Solution

The fourth proportional to 110,885.84, 166,447.18 and 47,737.27 is: 71,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,885.84 : 166,447.18 = 47,737.27 : x
  2. Step 2: Convert to fraction form
    110,885.84/166,447.18 = 47,737.27/x
  3. Step 3: Cross multiply
    110,885.84x = 166,447.18 × 47,737.27
  4. Step 4: Simplify right side
    110,885.84x = 7,945,734,574.00
  5. Step 5: Solve for x
    x = 7,945,734,574.00/110,885.84
  6. Step 6: Final answer
    x = 71,656.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.