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Finding the Fourth Proportional to 29,742, 44,630.28 and 13,326

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Solution

The fourth proportional to 29,742, 44,630.28 and 13,326 is: 19,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742 : 44,630.28 = 13,326 : x
  2. Step 2: Convert to fraction form
    29,742/44,630.28 = 13,326/x
  3. Step 3: Cross multiply
    29,742x = 44,630.28 × 13,326
  4. Step 4: Simplify right side
    29,742x = 594,743,111.28
  5. Step 5: Solve for x
    x = 594,743,111.28/29,742
  6. Step 6: Final answer
    x = 19,996.74

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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.