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Finding the Fourth Proportional to 33,914, 46,801.89 and 18,807.31

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Solution

The fourth proportional to 33,914, 46,801.89 and 18,807.31 is: 25,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,914 : 46,801.89 = 18,807.31 : x
  2. Step 2: Convert to fraction form
    33,914/46,801.89 = 18,807.31/x
  3. Step 3: Cross multiply
    33,914x = 46,801.89 × 18,807.31
  4. Step 4: Simplify right side
    33,914x = 880,217,419.81
  5. Step 5: Solve for x
    x = 880,217,419.81/33,914
  6. Step 6: Final answer
    x = 25,954.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.