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Finding the Fourth Proportional to 29,506.14, 40,719.31 and 16,930.89

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Solution

The fourth proportional to 29,506.14, 40,719.31 and 16,930.89 is: 23,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.14 : 40,719.31 = 16,930.89 : x
  2. Step 2: Convert to fraction form
    29,506.14/40,719.31 = 16,930.89/x
  3. Step 3: Cross multiply
    29,506.14x = 40,719.31 × 16,930.89
  4. Step 4: Simplify right side
    29,506.14x = 689,414,116.16
  5. Step 5: Solve for x
    x = 689,414,116.16/29,506.14
  6. Step 6: Final answer
    x = 23,365.11

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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.