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Finding the Fourth Proportional to 33,681, 46,480.10 and 18,777.32

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Solution

The fourth proportional to 33,681, 46,480.10 and 18,777.32 is: 25,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681 : 46,480.10 = 18,777.32 : x
  2. Step 2: Convert to fraction form
    33,681/46,480.10 = 18,777.32/x
  3. Step 3: Cross multiply
    33,681x = 46,480.10 × 18,777.32
  4. Step 4: Simplify right side
    33,681x = 872,771,711.33
  5. Step 5: Solve for x
    x = 872,771,711.33/33,681
  6. Step 6: Final answer
    x = 25,912.88

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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.