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Finding the Fourth Proportional to 33,223.80, 49,835.70 and 30,307.80

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Solution

The fourth proportional to 33,223.80, 49,835.70 and 30,307.80 is: 45,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.80 : 49,835.70 = 30,307.80 : x
  2. Step 2: Convert to fraction form
    33,223.80/49,835.70 = 30,307.80/x
  3. Step 3: Cross multiply
    33,223.80x = 49,835.70 × 30,307.80
  4. Step 4: Simplify right side
    33,223.80x = 1,510,410,428.46
  5. Step 5: Solve for x
    x = 1,510,410,428.46/33,223.80
  6. Step 6: Final answer
    x = 45,461.70

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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.