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Finding the Fourth Proportional to 44,812.88, 67,174.80 and 21,412

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Solution

The fourth proportional to 44,812.88, 67,174.80 and 21,412 is: 32,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,812.88 : 67,174.80 = 21,412 : x
  2. Step 2: Convert to fraction form
    44,812.88/67,174.80 = 21,412/x
  3. Step 3: Cross multiply
    44,812.88x = 67,174.80 × 21,412
  4. Step 4: Simplify right side
    44,812.88x = 1,438,346,817.60
  5. Step 5: Solve for x
    x = 1,438,346,817.60/44,812.88
  6. Step 6: Final answer
    x = 32,096.73

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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.