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Finding the Fourth Proportional to 33,672, 50,531.04 and 11,784

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Solution

The fourth proportional to 33,672, 50,531.04 and 11,784 is: 17,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672 : 50,531.04 = 11,784 : x
  2. Step 2: Convert to fraction form
    33,672/50,531.04 = 11,784/x
  3. Step 3: Cross multiply
    33,672x = 50,531.04 × 11,784
  4. Step 4: Simplify right side
    33,672x = 595,457,775.36
  5. Step 5: Solve for x
    x = 595,457,775.36/33,672
  6. Step 6: Final answer
    x = 17,684.06

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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.