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Finding the Fourth Proportional to 32,830, 49,245.08 and 8,206

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Solution

The fourth proportional to 32,830, 49,245.08 and 8,206 is: 12,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830 : 49,245.08 = 8,206 : x
  2. Step 2: Convert to fraction form
    32,830/49,245.08 = 8,206/x
  3. Step 3: Cross multiply
    32,830x = 49,245.08 × 8,206
  4. Step 4: Simplify right side
    32,830x = 404,105,126.48
  5. Step 5: Solve for x
    x = 404,105,126.48/32,830
  6. Step 6: Final answer
    x = 12,309.02

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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.