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Finding the Fourth Proportional to 33,465, 46,181.70 and 18,561

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Solution

The fourth proportional to 33,465, 46,181.70 and 18,561 is: 25,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465 : 46,181.70 = 18,561 : x
  2. Step 2: Convert to fraction form
    33,465/46,181.70 = 18,561/x
  3. Step 3: Cross multiply
    33,465x = 46,181.70 × 18,561
  4. Step 4: Simplify right side
    33,465x = 857,178,533.70
  5. Step 5: Solve for x
    x = 857,178,533.70/33,465
  6. Step 6: Final answer
    x = 25,614.18

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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.