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Finding the Fourth Proportional to 50,271.38, 75,407.02 and 12,831.46

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Solution

The fourth proportional to 50,271.38, 75,407.02 and 12,831.46 is: 19,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,271.38 : 75,407.02 = 12,831.46 : x
  2. Step 2: Convert to fraction form
    50,271.38/75,407.02 = 12,831.46/x
  3. Step 3: Cross multiply
    50,271.38x = 75,407.02 × 12,831.46
  4. Step 4: Simplify right side
    50,271.38x = 967,582,160.85
  5. Step 5: Solve for x
    x = 967,582,160.85/50,271.38
  6. Step 6: Final answer
    x = 19,247.18

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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.