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Finding the Fourth Proportional to 33,098.04, 49,654.08 and 12,321

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Solution

The fourth proportional to 33,098.04, 49,654.08 and 12,321 is: 18,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.04 : 49,654.08 = 12,321 : x
  2. Step 2: Convert to fraction form
    33,098.04/49,654.08 = 12,321/x
  3. Step 3: Cross multiply
    33,098.04x = 49,654.08 × 12,321
  4. Step 4: Simplify right side
    33,098.04x = 611,787,919.68
  5. Step 5: Solve for x
    x = 611,787,919.68/33,098.04
  6. Step 6: Final answer
    x = 18,484.11

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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.