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Finding the Fourth Proportional to 51,889.92, 71,608.64 and 29,534.08

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Solution

The fourth proportional to 51,889.92, 71,608.64 and 29,534.08 is: 40,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,889.92 : 71,608.64 = 29,534.08 : x
  2. Step 2: Convert to fraction form
    51,889.92/71,608.64 = 29,534.08/x
  3. Step 3: Cross multiply
    51,889.92x = 71,608.64 × 29,534.08
  4. Step 4: Simplify right side
    51,889.92x = 2,114,895,302.45
  5. Step 5: Solve for x
    x = 2,114,895,302.45/51,889.92
  6. Step 6: Final answer
    x = 40,757.34

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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.