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Finding the Fourth Proportional to 29,116, 43,674 and 10,648

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Solution

The fourth proportional to 29,116, 43,674 and 10,648 is: 15,972

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116 : 43,674 = 10,648 : x
  2. Step 2: Convert to fraction form
    29,116/43,674 = 10,648/x
  3. Step 3: Cross multiply
    29,116x = 43,674 × 10,648
  4. Step 4: Simplify right side
    29,116x = 465,040,752
  5. Step 5: Solve for x
    x = 465,040,752/29,116
  6. Step 6: Final answer
    x = 15,972

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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.