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Finding the Fourth Proportional to 71,409.21, 107,008.24 and 67,415.21

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Solution

The fourth proportional to 71,409.21, 107,008.24 and 67,415.21 is: 101,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.21 : 107,008.24 = 67,415.21 : x
  2. Step 2: Convert to fraction form
    71,409.21/107,008.24 = 67,415.21/x
  3. Step 3: Cross multiply
    71,409.21x = 107,008.24 × 67,415.21
  4. Step 4: Simplify right side
    71,409.21x = 7,213,982,971.33
  5. Step 5: Solve for x
    x = 7,213,982,971.33/71,409.21
  6. Step 6: Final answer
    x = 101,023.14

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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.