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Finding the Fourth Proportional to 29,698.34, 44,554.38 and 8,638.88

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Solution

The fourth proportional to 29,698.34, 44,554.38 and 8,638.88 is: 12,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.34 : 44,554.38 = 8,638.88 : x
  2. Step 2: Convert to fraction form
    29,698.34/44,554.38 = 8,638.88/x
  3. Step 3: Cross multiply
    29,698.34x = 44,554.38 × 8,638.88
  4. Step 4: Simplify right side
    29,698.34x = 384,899,942.29
  5. Step 5: Solve for x
    x = 384,899,942.29/29,698.34
  6. Step 6: Final answer
    x = 12,960.32

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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.