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Finding the Fourth Proportional to 36,503.09, 54,712.58 and 16,491

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Solution

The fourth proportional to 36,503.09, 54,712.58 and 16,491 is: 24,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,503.09 : 54,712.58 = 16,491 : x
  2. Step 2: Convert to fraction form
    36,503.09/54,712.58 = 16,491/x
  3. Step 3: Cross multiply
    36,503.09x = 54,712.58 × 16,491
  4. Step 4: Simplify right side
    36,503.09x = 902,265,074.33
  5. Step 5: Solve for x
    x = 902,265,074.33/36,503.09
  6. Step 6: Final answer
    x = 24,717.50

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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.