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Finding the Fourth Proportional to 29,711.63, 44,536.73 and 9,983.54

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Solution

The fourth proportional to 29,711.63, 44,536.73 and 9,983.54 is: 14,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,711.63 : 44,536.73 = 9,983.54 : x
  2. Step 2: Convert to fraction form
    29,711.63/44,536.73 = 9,983.54/x
  3. Step 3: Cross multiply
    29,711.63x = 44,536.73 × 9,983.54
  4. Step 4: Simplify right side
    29,711.63x = 444,633,952.82
  5. Step 5: Solve for x
    x = 444,633,952.82/29,711.63
  6. Step 6: Final answer
    x = 14,964.98

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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.