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Finding the Fourth Proportional to 29,588.64, 44,382.96 and 17,268

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Solution

The fourth proportional to 29,588.64, 44,382.96 and 17,268 is: 25,902

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588.64 : 44,382.96 = 17,268 : x
  2. Step 2: Convert to fraction form
    29,588.64/44,382.96 = 17,268/x
  3. Step 3: Cross multiply
    29,588.64x = 44,382.96 × 17,268
  4. Step 4: Simplify right side
    29,588.64x = 766,404,953.28
  5. Step 5: Solve for x
    x = 766,404,953.28/29,588.64
  6. Step 6: Final answer
    x = 25,902

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.