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Finding the Fourth Proportional to 36,003.32, 54,000 and 9,709.64

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Solution

The fourth proportional to 36,003.32, 54,000 and 9,709.64 is: 14,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,003.32 : 54,000 = 9,709.64 : x
  2. Step 2: Convert to fraction form
    36,003.32/54,000 = 9,709.64/x
  3. Step 3: Cross multiply
    36,003.32x = 54,000 × 9,709.64
  4. Step 4: Simplify right side
    36,003.32x = 524,320,560.00
  5. Step 5: Solve for x
    x = 524,320,560.00/36,003.32
  6. Step 6: Final answer
    x = 14,563.12

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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.