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Finding the Fourth Proportional to 38,098.89, 52,572.38 and 21,101.31

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Solution

The fourth proportional to 38,098.89, 52,572.38 and 21,101.31 is: 29,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.89 : 52,572.38 = 21,101.31 : x
  2. Step 2: Convert to fraction form
    38,098.89/52,572.38 = 21,101.31/x
  3. Step 3: Cross multiply
    38,098.89x = 52,572.38 × 21,101.31
  4. Step 4: Simplify right side
    38,098.89x = 1,109,345,982.31
  5. Step 5: Solve for x
    x = 1,109,345,982.31/38,098.89
  6. Step 6: Final answer
    x = 29,117.54

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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.