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Finding the Fourth Proportional to 30,591.27, 45,891.09 and 9,532.80

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Solution

The fourth proportional to 30,591.27, 45,891.09 and 9,532.80 is: 14,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.27 : 45,891.09 = 9,532.80 : x
  2. Step 2: Convert to fraction form
    30,591.27/45,891.09 = 9,532.80/x
  3. Step 3: Cross multiply
    30,591.27x = 45,891.09 × 9,532.80
  4. Step 4: Simplify right side
    30,591.27x = 437,470,582.75
  5. Step 5: Solve for x
    x = 437,470,582.75/30,591.27
  6. Step 6: Final answer
    x = 14,300.50

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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.