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Finding the Fourth Proportional to 50,822.96, 70,140.87 and 29,313.54

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Solution

The fourth proportional to 50,822.96, 70,140.87 and 29,313.54 is: 40,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,822.96 : 70,140.87 = 29,313.54 : x
  2. Step 2: Convert to fraction form
    50,822.96/70,140.87 = 29,313.54/x
  3. Step 3: Cross multiply
    50,822.96x = 70,140.87 × 29,313.54
  4. Step 4: Simplify right side
    50,822.96x = 2,056,077,198.38
  5. Step 5: Solve for x
    x = 2,056,077,198.38/50,822.96
  6. Step 6: Final answer
    x = 40,455.68

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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.