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Finding the Fourth Proportional to 30,365.50, 45,548.25 and 9,589

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Solution

The fourth proportional to 30,365.50, 45,548.25 and 9,589 is: 14,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,365.50 : 45,548.25 = 9,589 : x
  2. Step 2: Convert to fraction form
    30,365.50/45,548.25 = 9,589/x
  3. Step 3: Cross multiply
    30,365.50x = 45,548.25 × 9,589
  4. Step 4: Simplify right side
    30,365.50x = 436,762,169.25
  5. Step 5: Solve for x
    x = 436,762,169.25/30,365.50
  6. Step 6: Final answer
    x = 14,383.50

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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.