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Finding the Fourth Proportional to 30,412.26, 45,625.68 and 10,692

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Solution

The fourth proportional to 30,412.26, 45,625.68 and 10,692 is: 16,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.26 : 45,625.68 = 10,692 : x
  2. Step 2: Convert to fraction form
    30,412.26/45,625.68 = 10,692/x
  3. Step 3: Cross multiply
    30,412.26x = 45,625.68 × 10,692
  4. Step 4: Simplify right side
    30,412.26x = 487,829,770.56
  5. Step 5: Solve for x
    x = 487,829,770.56/30,412.26
  6. Step 6: Final answer
    x = 16,040.56

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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.