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Finding the Fourth Proportional to 52,096.50, 71,893.20 and 28,223.34

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Solution

The fourth proportional to 52,096.50, 71,893.20 and 28,223.34 is: 38,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.50 : 71,893.20 = 28,223.34 : x
  2. Step 2: Convert to fraction form
    52,096.50/71,893.20 = 28,223.34/x
  3. Step 3: Cross multiply
    52,096.50x = 71,893.20 × 28,223.34
  4. Step 4: Simplify right side
    52,096.50x = 2,029,066,227.29
  5. Step 5: Solve for x
    x = 2,029,066,227.29/52,096.50
  6. Step 6: Final answer
    x = 38,948.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.