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Finding the Fourth Proportional to 76,012.44, 114,030.96 and 23,421.96

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Solution

The fourth proportional to 76,012.44, 114,030.96 and 23,421.96 is: 35,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,012.44 : 114,030.96 = 23,421.96 : x
  2. Step 2: Convert to fraction form
    76,012.44/114,030.96 = 23,421.96/x
  3. Step 3: Cross multiply
    76,012.44x = 114,030.96 × 23,421.96
  4. Step 4: Simplify right side
    76,012.44x = 2,670,828,583.88
  5. Step 5: Solve for x
    x = 2,670,828,583.88/76,012.44
  6. Step 6: Final answer
    x = 35,136.73

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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.