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Finding the Fourth Proportional to 33,180.48, 49,775.40 and 12,402

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Solution

The fourth proportional to 33,180.48, 49,775.40 and 12,402 is: 18,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.48 : 49,775.40 = 12,402 : x
  2. Step 2: Convert to fraction form
    33,180.48/49,775.40 = 12,402/x
  3. Step 3: Cross multiply
    33,180.48x = 49,775.40 × 12,402
  4. Step 4: Simplify right side
    33,180.48x = 617,314,510.80
  5. Step 5: Solve for x
    x = 617,314,510.80/33,180.48
  6. Step 6: Final answer
    x = 18,604.75

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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.