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Finding the Fourth Proportional to 36,492, 50,359.02 and 19,725

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Solution

The fourth proportional to 36,492, 50,359.02 and 19,725 is: 27,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,492 : 50,359.02 = 19,725 : x
  2. Step 2: Convert to fraction form
    36,492/50,359.02 = 19,725/x
  3. Step 3: Cross multiply
    36,492x = 50,359.02 × 19,725
  4. Step 4: Simplify right side
    36,492x = 993,331,669.50
  5. Step 5: Solve for x
    x = 993,331,669.50/36,492
  6. Step 6: Final answer
    x = 27,220.53

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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.