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Finding the Fourth Proportional to 31,872.84, 47,831.04 and 11,096.34

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Solution

The fourth proportional to 31,872.84, 47,831.04 and 11,096.34 is: 16,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.84 : 47,831.04 = 11,096.34 : x
  2. Step 2: Convert to fraction form
    31,872.84/47,831.04 = 11,096.34/x
  3. Step 3: Cross multiply
    31,872.84x = 47,831.04 × 11,096.34
  4. Step 4: Simplify right side
    31,872.84x = 530,749,482.39
  5. Step 5: Solve for x
    x = 530,749,482.39/31,872.84
  6. Step 6: Final answer
    x = 16,652.09

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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.