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Finding the Fourth Proportional to 29,588.25, 40,832.78 and 16,160.31

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Solution

The fourth proportional to 29,588.25, 40,832.78 and 16,160.31 is: 22,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588.25 : 40,832.78 = 16,160.31 : x
  2. Step 2: Convert to fraction form
    29,588.25/40,832.78 = 16,160.31/x
  3. Step 3: Cross multiply
    29,588.25x = 40,832.78 × 16,160.31
  4. Step 4: Simplify right side
    29,588.25x = 659,870,302.16
  5. Step 5: Solve for x
    x = 659,870,302.16/29,588.25
  6. Step 6: Final answer
    x = 22,301.77

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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.