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Finding the Fourth Proportional to 85,839.75, 118,464.32 and 48,114

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Solution

The fourth proportional to 85,839.75, 118,464.32 and 48,114 is: 66,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,839.75 : 118,464.32 = 48,114 : x
  2. Step 2: Convert to fraction form
    85,839.75/118,464.32 = 48,114/x
  3. Step 3: Cross multiply
    85,839.75x = 118,464.32 × 48,114
  4. Step 4: Simplify right side
    85,839.75x = 5,699,792,412.77
  5. Step 5: Solve for x
    x = 5,699,792,412.77/85,839.75
  6. Step 6: Final answer
    x = 66,400.38

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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.