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Finding the Fourth Proportional to 38,705.34, 53,359.38 and 25,960.80

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Solution

The fourth proportional to 38,705.34, 53,359.38 and 25,960.80 is: 35,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.34 : 53,359.38 = 25,960.80 : x
  2. Step 2: Convert to fraction form
    38,705.34/53,359.38 = 25,960.80/x
  3. Step 3: Cross multiply
    38,705.34x = 53,359.38 × 25,960.80
  4. Step 4: Simplify right side
    38,705.34x = 1,385,252,192.30
  5. Step 5: Solve for x
    x = 1,385,252,192.30/38,705.34
  6. Step 6: Final answer
    x = 35,789.69

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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.