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Finding the Fourth Proportional to 51,985.30, 71,739.64 and 29,324.22

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Solution

The fourth proportional to 51,985.30, 71,739.64 and 29,324.22 is: 40,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985.30 : 71,739.64 = 29,324.22 : x
  2. Step 2: Convert to fraction form
    51,985.30/71,739.64 = 29,324.22/x
  3. Step 3: Cross multiply
    51,985.30x = 71,739.64 × 29,324.22
  4. Step 4: Simplify right side
    51,985.30x = 2,103,708,986.08
  5. Step 5: Solve for x
    x = 2,103,708,986.08/51,985.30
  6. Step 6: Final answer
    x = 40,467.38

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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.