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Finding the Fourth Proportional to 36,232.63, 54,302.16 and 16,227.50

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Solution

The fourth proportional to 36,232.63, 54,302.16 and 16,227.50 is: 24,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232.63 : 54,302.16 = 16,227.50 : x
  2. Step 2: Convert to fraction form
    36,232.63/54,302.16 = 16,227.50/x
  3. Step 3: Cross multiply
    36,232.63x = 54,302.16 × 16,227.50
  4. Step 4: Simplify right side
    36,232.63x = 881,188,301.40
  5. Step 5: Solve for x
    x = 881,188,301.40/36,232.63
  6. Step 6: Final answer
    x = 24,320.30

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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.