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Finding the Fourth Proportional to 76,385.73, 114,584.73 and 29,023.52

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Solution

The fourth proportional to 76,385.73, 114,584.73 and 29,023.52 is: 43,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,385.73 : 114,584.73 = 29,023.52 : x
  2. Step 2: Convert to fraction form
    76,385.73/114,584.73 = 29,023.52/x
  3. Step 3: Cross multiply
    76,385.73x = 114,584.73 × 29,023.52
  4. Step 4: Simplify right side
    76,385.73x = 3,325,651,521.09
  5. Step 5: Solve for x
    x = 3,325,651,521.09/76,385.73
  6. Step 6: Final answer
    x = 43,537.60

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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.