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Finding the Fourth Proportional to 38,546.42, 53,202.95 and 25,094.25

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Solution

The fourth proportional to 38,546.42, 53,202.95 and 25,094.25 is: 34,635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,546.42 : 53,202.95 = 25,094.25 : x
  2. Step 2: Convert to fraction form
    38,546.42/53,202.95 = 25,094.25/x
  3. Step 3: Cross multiply
    38,546.42x = 53,202.95 × 25,094.25
  4. Step 4: Simplify right side
    38,546.42x = 1,335,088,128.04
  5. Step 5: Solve for x
    x = 1,335,088,128.04/38,546.42
  6. Step 6: Final answer
    x = 34,635.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.