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Finding the Fourth Proportional to 29,033.48, 40,073.46 and 17,849

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Solution

The fourth proportional to 29,033.48, 40,073.46 and 17,849 is: 24,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,033.48 : 40,073.46 = 17,849 : x
  2. Step 2: Convert to fraction form
    29,033.48/40,073.46 = 17,849/x
  3. Step 3: Cross multiply
    29,033.48x = 40,073.46 × 17,849
  4. Step 4: Simplify right side
    29,033.48x = 715,271,187.54
  5. Step 5: Solve for x
    x = 715,271,187.54/29,033.48
  6. Step 6: Final answer
    x = 24,636.08

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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.