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Finding the Fourth Proportional to 27,831.48, 41,747.28 and 7,054.92

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Solution

The fourth proportional to 27,831.48, 41,747.28 and 7,054.92 is: 10,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.48 : 41,747.28 = 7,054.92 : x
  2. Step 2: Convert to fraction form
    27,831.48/41,747.28 = 7,054.92/x
  3. Step 3: Cross multiply
    27,831.48x = 41,747.28 × 7,054.92
  4. Step 4: Simplify right side
    27,831.48x = 294,523,720.62
  5. Step 5: Solve for x
    x = 294,523,720.62/27,831.48
  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.