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Finding the Fourth Proportional to 29,751.68, 41,052.75 and 17,174

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Solution

The fourth proportional to 29,751.68, 41,052.75 and 17,174 is: 23,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,751.68 : 41,052.75 = 17,174 : x
  2. Step 2: Convert to fraction form
    29,751.68/41,052.75 = 17,174/x
  3. Step 3: Cross multiply
    29,751.68x = 41,052.75 × 17,174
  4. Step 4: Simplify right side
    29,751.68x = 705,039,928.50
  5. Step 5: Solve for x
    x = 705,039,928.50/29,751.68
  6. Step 6: Final answer
    x = 23,697.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.