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Finding the Fourth Proportional to 29,689, 40,971.09 and 20,257.36

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Solution

The fourth proportional to 29,689, 40,971.09 and 20,257.36 is: 27,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689 : 40,971.09 = 20,257.36 : x
  2. Step 2: Convert to fraction form
    29,689/40,971.09 = 20,257.36/x
  3. Step 3: Cross multiply
    29,689x = 40,971.09 × 20,257.36
  4. Step 4: Simplify right side
    29,689x = 829,966,119.72
  5. Step 5: Solve for x
    x = 829,966,119.72/29,689
  6. Step 6: Final answer
    x = 27,955.34

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