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Finding the Fourth Proportional to 27,831.32, 41,742.93 and 8,104.58

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Solution

The fourth proportional to 27,831.32, 41,742.93 and 8,104.58 is: 12,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.32 : 41,742.93 = 8,104.58 : x
  2. Step 2: Convert to fraction form
    27,831.32/41,742.93 = 8,104.58/x
  3. Step 3: Cross multiply
    27,831.32x = 41,742.93 × 8,104.58
  4. Step 4: Simplify right side
    27,831.32x = 338,309,050.37
  5. Step 5: Solve for x
    x = 338,309,050.37/27,831.32
  6. Step 6: Final answer
    x = 12,155.69

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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.