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Finding the Fourth Proportional to 110,683.08, 166,024.14 and 47,497.80

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Solution

The fourth proportional to 110,683.08, 166,024.14 and 47,497.80 is: 71,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,683.08 : 166,024.14 = 47,497.80 : x
  2. Step 2: Convert to fraction form
    110,683.08/166,024.14 = 47,497.80/x
  3. Step 3: Cross multiply
    110,683.08x = 166,024.14 × 47,497.80
  4. Step 4: Simplify right side
    110,683.08x = 7,885,781,396.89
  5. Step 5: Solve for x
    x = 7,885,781,396.89/110,683.08
  6. Step 6: Final answer
    x = 71,246.49

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