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Finding the Fourth Proportional to 38,503.81, 53,120.64 and 25,086.57

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Solution

The fourth proportional to 38,503.81, 53,120.64 and 25,086.57 is: 34,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.81 : 53,120.64 = 25,086.57 : x
  2. Step 2: Convert to fraction form
    38,503.81/53,120.64 = 25,086.57/x
  3. Step 3: Cross multiply
    38,503.81x = 53,120.64 × 25,086.57
  4. Step 4: Simplify right side
    38,503.81x = 1,332,614,388.20
  5. Step 5: Solve for x
    x = 1,332,614,388.20/38,503.81
  6. Step 6: Final answer
    x = 34,609.94

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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.