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Finding the Fourth Proportional to 29,505.30, 40,769.10 and 23,585.82

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Solution

The fourth proportional to 29,505.30, 40,769.10 and 23,585.82 is: 32,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,505.30 : 40,769.10 = 23,585.82 : x
  2. Step 2: Convert to fraction form
    29,505.30/40,769.10 = 23,585.82/x
  3. Step 3: Cross multiply
    29,505.30x = 40,769.10 × 23,585.82
  4. Step 4: Simplify right side
    29,505.30x = 961,572,654.16
  5. Step 5: Solve for x
    x = 961,572,654.16/29,505.30
  6. Step 6: Final answer
    x = 32,589.83

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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.