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Finding the Fourth Proportional to 33,574.84, 50,368.74 and 11,392

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Solution

The fourth proportional to 33,574.84, 50,368.74 and 11,392 is: 17,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.84 : 50,368.74 = 11,392 : x
  2. Step 2: Convert to fraction form
    33,574.84/50,368.74 = 11,392/x
  3. Step 3: Cross multiply
    33,574.84x = 50,368.74 × 11,392
  4. Step 4: Simplify right side
    33,574.84x = 573,800,686.08
  5. Step 5: Solve for x
    x = 573,800,686.08/33,574.84
  6. Step 6: Final answer
    x = 17,090.20

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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.