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Finding the Fourth Proportional to 29,506.97, 40,719.10 and 16,078.32

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Solution

The fourth proportional to 29,506.97, 40,719.10 and 16,078.32 is: 22,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.97 : 40,719.10 = 16,078.32 : x
  2. Step 2: Convert to fraction form
    29,506.97/40,719.10 = 16,078.32/x
  3. Step 3: Cross multiply
    29,506.97x = 40,719.10 × 16,078.32
  4. Step 4: Simplify right side
    29,506.97x = 654,694,719.91
  5. Step 5: Solve for x
    x = 654,694,719.91/29,506.97
  6. Step 6: Final answer
    x = 22,187.80

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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.