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Finding the Fourth Proportional to 29,647.80, 44,464.50 and 9,921.24

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Solution

The fourth proportional to 29,647.80, 44,464.50 and 9,921.24 is: 14,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.80 : 44,464.50 = 9,921.24 : x
  2. Step 2: Convert to fraction form
    29,647.80/44,464.50 = 9,921.24/x
  3. Step 3: Cross multiply
    29,647.80x = 44,464.50 × 9,921.24
  4. Step 4: Simplify right side
    29,647.80x = 441,142,975.98
  5. Step 5: Solve for x
    x = 441,142,975.98/29,647.80
  6. Step 6: Final answer
    x = 14,879.45

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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.