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Finding the Fourth Proportional to 29,594.64, 44,380.30 and 10,869.08

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Solution

The fourth proportional to 29,594.64, 44,380.30 and 10,869.08 is: 16,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,594.64 : 44,380.30 = 10,869.08 : x
  2. Step 2: Convert to fraction form
    29,594.64/44,380.30 = 10,869.08/x
  3. Step 3: Cross multiply
    29,594.64x = 44,380.30 × 10,869.08
  4. Step 4: Simplify right side
    29,594.64x = 482,373,031.12
  5. Step 5: Solve for x
    x = 482,373,031.12/29,594.64
  6. Step 6: Final answer
    x = 16,299.34

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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.