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Finding the Fourth Proportional to 27,595.25, 38,082.26 and 19,543.31

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Solution

The fourth proportional to 27,595.25, 38,082.26 and 19,543.31 is: 26,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,595.25 : 38,082.26 = 19,543.31 : x
  2. Step 2: Convert to fraction form
    27,595.25/38,082.26 = 19,543.31/x
  3. Step 3: Cross multiply
    27,595.25x = 38,082.26 × 19,543.31
  4. Step 4: Simplify right side
    27,595.25x = 744,253,556.74
  5. Step 5: Solve for x
    x = 744,253,556.74/27,595.25
  6. Step 6: Final answer
    x = 26,970.35

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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.