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Finding the Fourth Proportional to 30,327.36, 45,495.99 and 9,546

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Solution

The fourth proportional to 30,327.36, 45,495.99 and 9,546 is: 14,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,327.36 : 45,495.99 = 9,546 : x
  2. Step 2: Convert to fraction form
    30,327.36/45,495.99 = 9,546/x
  3. Step 3: Cross multiply
    30,327.36x = 45,495.99 × 9,546
  4. Step 4: Simplify right side
    30,327.36x = 434,304,720.54
  5. Step 5: Solve for x
    x = 434,304,720.54/30,327.36
  6. Step 6: Final answer
    x = 14,320.56

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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.