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Finding the Fourth Proportional to 30,365.68, 45,550.68 and 9,589

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Solution

The fourth proportional to 30,365.68, 45,550.68 and 9,589 is: 14,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,365.68 : 45,550.68 = 9,589 : x
  2. Step 2: Convert to fraction form
    30,365.68/45,550.68 = 9,589/x
  3. Step 3: Cross multiply
    30,365.68x = 45,550.68 × 9,589
  4. Step 4: Simplify right side
    30,365.68x = 436,785,470.52
  5. Step 5: Solve for x
    x = 436,785,470.52/30,365.68
  6. Step 6: Final answer
    x = 14,384.18

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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.