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Finding the Fourth Proportional to 76,675.20, 105,774.42 and 66,046.38

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Solution

The fourth proportional to 76,675.20, 105,774.42 and 66,046.38 is: 91,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.20 : 105,774.42 = 66,046.38 : x
  2. Step 2: Convert to fraction form
    76,675.20/105,774.42 = 66,046.38/x
  3. Step 3: Cross multiply
    76,675.20x = 105,774.42 × 66,046.38
  4. Step 4: Simplify right side
    76,675.20x = 6,986,017,537.60
  5. Step 5: Solve for x
    x = 6,986,017,537.60/76,675.20
  6. Step 6: Final answer
    x = 91,111.83

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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.