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Finding the Fourth Proportional to 31,805.12, 43,906.80 and 19,875.04

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Solution

The fourth proportional to 31,805.12, 43,906.80 and 19,875.04 is: 27,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.12 : 43,906.80 = 19,875.04 : x
  2. Step 2: Convert to fraction form
    31,805.12/43,906.80 = 19,875.04/x
  3. Step 3: Cross multiply
    31,805.12x = 43,906.80 × 19,875.04
  4. Step 4: Simplify right side
    31,805.12x = 872,649,406.27
  5. Step 5: Solve for x
    x = 872,649,406.27/31,805.12
  6. Step 6: Final answer
    x = 27,437.39

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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.