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Finding the Fourth Proportional to 33,231, 49,782.54 and 26,173.68

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Solution

The fourth proportional to 33,231, 49,782.54 and 26,173.68 is: 39,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231 : 49,782.54 = 26,173.68 : x
  2. Step 2: Convert to fraction form
    33,231/49,782.54 = 26,173.68/x
  3. Step 3: Cross multiply
    33,231x = 49,782.54 × 26,173.68
  4. Step 4: Simplify right side
    33,231x = 1,302,992,271.55
  5. Step 5: Solve for x
    x = 1,302,992,271.55/33,231
  6. Step 6: Final answer
    x = 39,210.14

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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.