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Finding the Fourth Proportional to 38,455.32, 57,674.34 and 13,831.32

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Solution

The fourth proportional to 38,455.32, 57,674.34 and 13,831.32 is: 20,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,455.32 : 57,674.34 = 13,831.32 : x
  2. Step 2: Convert to fraction form
    38,455.32/57,674.34 = 13,831.32/x
  3. Step 3: Cross multiply
    38,455.32x = 57,674.34 × 13,831.32
  4. Step 4: Simplify right side
    38,455.32x = 797,712,252.33
  5. Step 5: Solve for x
    x = 797,712,252.33/38,455.32
  6. Step 6: Final answer
    x = 20,743.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.