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Finding the Fourth Proportional to 33,490, 46,217.64 and 18,586

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Solution

The fourth proportional to 33,490, 46,217.64 and 18,586 is: 25,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490 : 46,217.64 = 18,586 : x
  2. Step 2: Convert to fraction form
    33,490/46,217.64 = 18,586/x
  3. Step 3: Cross multiply
    33,490x = 46,217.64 × 18,586
  4. Step 4: Simplify right side
    33,490x = 859,001,057.04
  5. Step 5: Solve for x
    x = 859,001,057.04/33,490
  6. Step 6: Final answer
    x = 25,649.48

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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.