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Finding the Fourth Proportional to 38,854.62, 53,638.74 and 25,446.42

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Solution

The fourth proportional to 38,854.62, 53,638.74 and 25,446.42 is: 35,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854.62 : 53,638.74 = 25,446.42 : x
  2. Step 2: Convert to fraction form
    38,854.62/53,638.74 = 25,446.42/x
  3. Step 3: Cross multiply
    38,854.62x = 53,638.74 × 25,446.42
  4. Step 4: Simplify right side
    38,854.62x = 1,364,913,906.31
  5. Step 5: Solve for x
    x = 1,364,913,906.31/38,854.62
  6. Step 6: Final answer
    x = 35,128.74

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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.