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Finding the Fourth Proportional to 29,124, 43,686 and 10,656

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Solution

The fourth proportional to 29,124, 43,686 and 10,656 is: 15,984

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 43,686 = 10,656 : x
  2. Step 2: Convert to fraction form
    29,124/43,686 = 10,656/x
  3. Step 3: Cross multiply
    29,124x = 43,686 × 10,656
  4. Step 4: Simplify right side
    29,124x = 465,518,016
  5. Step 5: Solve for x
    x = 465,518,016/29,124
  6. Step 6: Final answer
    x = 15,984

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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.