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Finding the Fourth Proportional to 51,096, 76,648.32 and 14,160

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Solution

The fourth proportional to 51,096, 76,648.32 and 14,160 is: 21,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096 : 76,648.32 = 14,160 : x
  2. Step 2: Convert to fraction form
    51,096/76,648.32 = 14,160/x
  3. Step 3: Cross multiply
    51,096x = 76,648.32 × 14,160
  4. Step 4: Simplify right side
    51,096x = 1,085,340,211.20
  5. Step 5: Solve for x
    x = 1,085,340,211.20/51,096
  6. Step 6: Final answer
    x = 21,241.20

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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.