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Finding the Fourth Proportional to 36,288, 54,432.04 and 14,400

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Solution

The fourth proportional to 36,288, 54,432.04 and 14,400 is: 21,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,288 : 54,432.04 = 14,400 : x
  2. Step 2: Convert to fraction form
    36,288/54,432.04 = 14,400/x
  3. Step 3: Cross multiply
    36,288x = 54,432.04 × 14,400
  4. Step 4: Simplify right side
    36,288x = 783,821,376
  5. Step 5: Solve for x
    x = 783,821,376/36,288
  6. Step 6: Final answer
    x = 21,600.02

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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.