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Finding the Fourth Proportional to 31,594.38, 43,607.10 and 21,546.78

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Solution

The fourth proportional to 31,594.38, 43,607.10 and 21,546.78 is: 29,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.38 : 43,607.10 = 21,546.78 : x
  2. Step 2: Convert to fraction form
    31,594.38/43,607.10 = 21,546.78/x
  3. Step 3: Cross multiply
    31,594.38x = 43,607.10 × 21,546.78
  4. Step 4: Simplify right side
    31,594.38x = 939,592,590.14
  5. Step 5: Solve for x
    x = 939,592,590.14/31,594.38
  6. Step 6: Final answer
    x = 29,739.23

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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.