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Finding the Fourth Proportional to 33,080.50, 49,621.02 and 12,304

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Solution

The fourth proportional to 33,080.50, 49,621.02 and 12,304 is: 18,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,080.50 : 49,621.02 = 12,304 : x
  2. Step 2: Convert to fraction form
    33,080.50/49,621.02 = 12,304/x
  3. Step 3: Cross multiply
    33,080.50x = 49,621.02 × 12,304
  4. Step 4: Simplify right side
    33,080.50x = 610,537,030.08
  5. Step 5: Solve for x
    x = 610,537,030.08/33,080.50
  6. Step 6: Final answer
    x = 18,456.10

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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.