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Finding the Fourth Proportional to 33,477.68, 50,237.02 and 13,483.50

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Solution

The fourth proportional to 33,477.68, 50,237.02 and 13,483.50 is: 20,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.68 : 50,237.02 = 13,483.50 : x
  2. Step 2: Convert to fraction form
    33,477.68/50,237.02 = 13,483.50/x
  3. Step 3: Cross multiply
    33,477.68x = 50,237.02 × 13,483.50
  4. Step 4: Simplify right side
    33,477.68x = 677,371,064.41
  5. Step 5: Solve for x
    x = 677,371,064.41/33,477.68
  6. Step 6: Final answer
    x = 20,233.51

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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.