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Finding the Fourth Proportional to 30,241.49, 45,363.24 and 10,520.24

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Solution

The fourth proportional to 30,241.49, 45,363.24 and 10,520.24 is: 15,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.49 : 45,363.24 = 10,520.24 : x
  2. Step 2: Convert to fraction form
    30,241.49/45,363.24 = 10,520.24/x
  3. Step 3: Cross multiply
    30,241.49x = 45,363.24 × 10,520.24
  4. Step 4: Simplify right side
    30,241.49x = 477,231,945.16
  5. Step 5: Solve for x
    x = 477,231,945.16/30,241.49
  6. Step 6: Final answer
    x = 15,780.70

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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.