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Finding the Fourth Proportional to 36,043.84, 49,738.43 and 21,524.41

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Solution

The fourth proportional to 36,043.84, 49,738.43 and 21,524.41 is: 29,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,043.84 : 49,738.43 = 21,524.41 : x
  2. Step 2: Convert to fraction form
    36,043.84/49,738.43 = 21,524.41/x
  3. Step 3: Cross multiply
    36,043.84x = 49,738.43 × 21,524.41
  4. Step 4: Simplify right side
    36,043.84x = 1,070,590,111.38
  5. Step 5: Solve for x
    x = 1,070,590,111.38/36,043.84
  6. Step 6: Final answer
    x = 29,702.45

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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.