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Finding the Fourth Proportional to 31,176.69, 43,021.04 and 19,243.87

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Solution

The fourth proportional to 31,176.69, 43,021.04 and 19,243.87 is: 26,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.69 : 43,021.04 = 19,243.87 : x
  2. Step 2: Convert to fraction form
    31,176.69/43,021.04 = 19,243.87/x
  3. Step 3: Cross multiply
    31,176.69x = 43,021.04 × 19,243.87
  4. Step 4: Simplify right side
    31,176.69x = 827,891,301.02
  5. Step 5: Solve for x
    x = 827,891,301.02/31,176.69
  6. Step 6: Final answer
    x = 26,554.82

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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.