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Finding the Fourth Proportional to 103,423.70, 142,719.90 and 57,481.21

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Solution

The fourth proportional to 103,423.70, 142,719.90 and 57,481.21 is: 79,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,423.70 : 142,719.90 = 57,481.21 : x
  2. Step 2: Convert to fraction form
    103,423.70/142,719.90 = 57,481.21/x
  3. Step 3: Cross multiply
    103,423.70x = 142,719.90 × 57,481.21
  4. Step 4: Simplify right side
    103,423.70x = 8,203,711,829.48
  5. Step 5: Solve for x
    x = 8,203,711,829.48/103,423.70
  6. Step 6: Final answer
    x = 79,321.39

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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.