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Finding the Fourth Proportional to 29,708.02, 40,996.02 and 17,764.30

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Solution

The fourth proportional to 29,708.02, 40,996.02 and 17,764.30 is: 24,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708.02 : 40,996.02 = 17,764.30 : x
  2. Step 2: Convert to fraction form
    29,708.02/40,996.02 = 17,764.30/x
  3. Step 3: Cross multiply
    29,708.02x = 40,996.02 × 17,764.30
  4. Step 4: Simplify right side
    29,708.02x = 728,265,598.09
  5. Step 5: Solve for x
    x = 728,265,598.09/29,708.02
  6. Step 6: Final answer
    x = 24,514.11

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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.