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Finding the Fourth Proportional to 33,582.98, 50,371.23 and 10,209.62

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Solution

The fourth proportional to 33,582.98, 50,371.23 and 10,209.62 is: 15,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582.98 : 50,371.23 = 10,209.62 : x
  2. Step 2: Convert to fraction form
    33,582.98/50,371.23 = 10,209.62/x
  3. Step 3: Cross multiply
    33,582.98x = 50,371.23 × 10,209.62
  4. Step 4: Simplify right side
    33,582.98x = 514,271,117.23
  5. Step 5: Solve for x
    x = 514,271,117.23/33,582.98
  6. Step 6: Final answer
    x = 15,313.45

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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.