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Finding the Fourth Proportional to 31,357.38, 43,293.46 and 19,433.38

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Solution

The fourth proportional to 31,357.38, 43,293.46 and 19,433.38 is: 26,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.38 : 43,293.46 = 19,433.38 : x
  2. Step 2: Convert to fraction form
    31,357.38/43,293.46 = 19,433.38/x
  3. Step 3: Cross multiply
    31,357.38x = 43,293.46 × 19,433.38
  4. Step 4: Simplify right side
    31,357.38x = 841,338,259.69
  5. Step 5: Solve for x
    x = 841,338,259.69/31,357.38
  6. Step 6: Final answer
    x = 26,830.63

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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.