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Finding the Fourth Proportional to 30,014.92, 41,419.38 and 17,438.68

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Solution

The fourth proportional to 30,014.92, 41,419.38 and 17,438.68 is: 24,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,014.92 : 41,419.38 = 17,438.68 : x
  2. Step 2: Convert to fraction form
    30,014.92/41,419.38 = 17,438.68/x
  3. Step 3: Cross multiply
    30,014.92x = 41,419.38 × 17,438.68
  4. Step 4: Simplify right side
    30,014.92x = 722,299,313.62
  5. Step 5: Solve for x
    x = 722,299,313.62/30,014.92
  6. Step 6: Final answer
    x = 24,064.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.