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Finding the Fourth Proportional to 33,492, 46,221.12 and 18,588

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Solution

The fourth proportional to 33,492, 46,221.12 and 18,588 is: 25,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,492 : 46,221.12 = 18,588 : x
  2. Step 2: Convert to fraction form
    33,492/46,221.12 = 18,588/x
  3. Step 3: Cross multiply
    33,492x = 46,221.12 × 18,588
  4. Step 4: Simplify right side
    33,492x = 859,158,178.56
  5. Step 5: Solve for x
    x = 859,158,178.56/33,492
  6. Step 6: Final answer
    x = 25,652.64

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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.