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Finding the Fourth Proportional to 29,675.66, 44,508.66 and 10,964.49

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Solution

The fourth proportional to 29,675.66, 44,508.66 and 10,964.49 is: 16,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675.66 : 44,508.66 = 10,964.49 : x
  2. Step 2: Convert to fraction form
    29,675.66/44,508.66 = 10,964.49/x
  3. Step 3: Cross multiply
    29,675.66x = 44,508.66 × 10,964.49
  4. Step 4: Simplify right side
    29,675.66x = 488,014,757.48
  5. Step 5: Solve for x
    x = 488,014,757.48/29,675.66
  6. Step 6: Final answer
    x = 16,444.95

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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.