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Finding the Fourth Proportional to 33,106.04, 49,658.64 and 8,146.40

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Solution

The fourth proportional to 33,106.04, 49,658.64 and 8,146.40 is: 12,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,106.04 : 49,658.64 = 8,146.40 : x
  2. Step 2: Convert to fraction form
    33,106.04/49,658.64 = 8,146.40/x
  3. Step 3: Cross multiply
    33,106.04x = 49,658.64 × 8,146.40
  4. Step 4: Simplify right side
    33,106.04x = 404,539,144.90
  5. Step 5: Solve for x
    x = 404,539,144.90/33,106.04
  6. Step 6: Final answer
    x = 12,219.50

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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.