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Finding the Fourth Proportional to 36,497.84, 54,738.48 and 16,757.43

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Solution

The fourth proportional to 36,497.84, 54,738.48 and 16,757.43 is: 25,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,497.84 : 54,738.48 = 16,757.43 : x
  2. Step 2: Convert to fraction form
    36,497.84/54,738.48 = 16,757.43/x
  3. Step 3: Cross multiply
    36,497.84x = 54,738.48 × 16,757.43
  4. Step 4: Simplify right side
    36,497.84x = 917,276,412.38
  5. Step 5: Solve for x
    x = 917,276,412.38/36,497.84
  6. Step 6: Final answer
    x = 25,132.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.