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Finding the Fourth Proportional to 29,054, 43,581 and 7,166

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Solution

The fourth proportional to 29,054, 43,581 and 7,166 is: 10,749

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054 : 43,581 = 7,166 : x
  2. Step 2: Convert to fraction form
    29,054/43,581 = 7,166/x
  3. Step 3: Cross multiply
    29,054x = 43,581 × 7,166
  4. Step 4: Simplify right side
    29,054x = 312,301,446
  5. Step 5: Solve for x
    x = 312,301,446/29,054
  6. Step 6: Final answer
    x = 10,749

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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.