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Finding the Fourth Proportional to 29,831.28, 44,718.97 and 10,096.02

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Solution

The fourth proportional to 29,831.28, 44,718.97 and 10,096.02 is: 15,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.28 : 44,718.97 = 10,096.02 : x
  2. Step 2: Convert to fraction form
    29,831.28/44,718.97 = 10,096.02/x
  3. Step 3: Cross multiply
    29,831.28x = 44,718.97 × 10,096.02
  4. Step 4: Simplify right side
    29,831.28x = 451,483,615.50
  5. Step 5: Solve for x
    x = 451,483,615.50/29,831.28
  6. Step 6: Final answer
    x = 15,134.57

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Why These Related Problems?

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