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Finding the Fourth Proportional to 85,842.56, 118,463.64 and 48,116

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Solution

The fourth proportional to 85,842.56, 118,463.64 and 48,116 is: 66,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.56 : 118,463.64 = 48,116 : x
  2. Step 2: Convert to fraction form
    85,842.56/118,463.64 = 48,116/x
  3. Step 3: Cross multiply
    85,842.56x = 118,463.64 × 48,116
  4. Step 4: Simplify right side
    85,842.56x = 5,699,996,502.24
  5. Step 5: Solve for x
    x = 5,699,996,502.24/85,842.56
  6. Step 6: Final answer
    x = 66,400.59

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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.