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Finding the Fourth Proportional to 31,854.72, 43,813.38 and 25,553.28

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Solution

The fourth proportional to 31,854.72, 43,813.38 and 25,553.28 is: 35,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.72 : 43,813.38 = 25,553.28 : x
  2. Step 2: Convert to fraction form
    31,854.72/43,813.38 = 25,553.28/x
  3. Step 3: Cross multiply
    31,854.72x = 43,813.38 × 25,553.28
  4. Step 4: Simplify right side
    31,854.72x = 1,119,575,566.89
  5. Step 5: Solve for x
    x = 1,119,575,566.89/31,854.72
  6. Step 6: Final answer
    x = 35,146.30

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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.