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Finding the Fourth Proportional to 29,534, 40,760.08 and 18,201.08

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Solution

The fourth proportional to 29,534, 40,760.08 and 18,201.08 is: 25,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534 : 40,760.08 = 18,201.08 : x
  2. Step 2: Convert to fraction form
    29,534/40,760.08 = 18,201.08/x
  3. Step 3: Cross multiply
    29,534x = 40,760.08 × 18,201.08
  4. Step 4: Simplify right side
    29,534x = 741,877,476.89
  5. Step 5: Solve for x
    x = 741,877,476.89/29,534
  6. Step 6: Final answer
    x = 25,119.44

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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.