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Finding the Fourth Proportional to 43,762.86, 65,644.29 and 34,956.54

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Solution

The fourth proportional to 43,762.86, 65,644.29 and 34,956.54 is: 52,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762.86 : 65,644.29 = 34,956.54 : x
  2. Step 2: Convert to fraction form
    43,762.86/65,644.29 = 34,956.54/x
  3. Step 3: Cross multiply
    43,762.86x = 65,644.29 × 34,956.54
  4. Step 4: Simplify right side
    43,762.86x = 2,294,697,249.16
  5. Step 5: Solve for x
    x = 2,294,697,249.16/43,762.86
  6. Step 6: Final answer
    x = 52,434.81

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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.