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Finding the Fourth Proportional to 28,175.24, 38,840.42 and 21,449.16

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Solution

The fourth proportional to 28,175.24, 38,840.42 and 21,449.16 is: 29,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,175.24 : 38,840.42 = 21,449.16 : x
  2. Step 2: Convert to fraction form
    28,175.24/38,840.42 = 21,449.16/x
  3. Step 3: Cross multiply
    28,175.24x = 38,840.42 × 21,449.16
  4. Step 4: Simplify right side
    28,175.24x = 833,094,383.05
  5. Step 5: Solve for x
    x = 833,094,383.05/28,175.24
  6. Step 6: Final answer
    x = 29,568.32

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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.