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Finding the Fourth Proportional to 27,831.42, 41,747.22 and 7,054.92

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Solution

The fourth proportional to 27,831.42, 41,747.22 and 7,054.92 is: 10,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.42 : 41,747.22 = 7,054.92 : x
  2. Step 2: Convert to fraction form
    27,831.42/41,747.22 = 7,054.92/x
  3. Step 3: Cross multiply
    27,831.42x = 41,747.22 × 7,054.92
  4. Step 4: Simplify right side
    27,831.42x = 294,523,297.32
  5. Step 5: Solve for x
    x = 294,523,297.32/27,831.42
  6. Step 6: Final answer
    x = 10,582.40

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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.