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Finding the Fourth Proportional to 29,473.44, 44,208.72 and 11,004

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Solution

The fourth proportional to 29,473.44, 44,208.72 and 11,004 is: 16,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,473.44 : 44,208.72 = 11,004 : x
  2. Step 2: Convert to fraction form
    29,473.44/44,208.72 = 11,004/x
  3. Step 3: Cross multiply
    29,473.44x = 44,208.72 × 11,004
  4. Step 4: Simplify right side
    29,473.44x = 486,472,754.88
  5. Step 5: Solve for x
    x = 486,472,754.88/29,473.44
  6. Step 6: Final answer
    x = 16,505.46

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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.