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Finding the Fourth Proportional to 31,590.56, 43,594.16 and 20,822.24

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Solution

The fourth proportional to 31,590.56, 43,594.16 and 20,822.24 is: 28,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.56 : 43,594.16 = 20,822.24 : x
  2. Step 2: Convert to fraction form
    31,590.56/43,594.16 = 20,822.24/x
  3. Step 3: Cross multiply
    31,590.56x = 43,594.16 × 20,822.24
  4. Step 4: Simplify right side
    31,590.56x = 907,728,062.12
  5. Step 5: Solve for x
    x = 907,728,062.12/31,590.56
  6. Step 6: Final answer
    x = 28,734.16

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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.