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Finding the Fourth Proportional to 41,854, 62,785.12 and 13,762.64

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Solution

The fourth proportional to 41,854, 62,785.12 and 13,762.64 is: 20,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854 : 62,785.12 = 13,762.64 : x
  2. Step 2: Convert to fraction form
    41,854/62,785.12 = 13,762.64/x
  3. Step 3: Cross multiply
    41,854x = 62,785.12 × 13,762.64
  4. Step 4: Simplify right side
    41,854x = 864,089,003.92
  5. Step 5: Solve for x
    x = 864,089,003.92/41,854
  6. Step 6: Final answer
    x = 20,645.31

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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.