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Finding the Fourth Proportional to 76,385.62, 114,605.16 and 29,671.30

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Solution

The fourth proportional to 76,385.62, 114,605.16 and 29,671.30 is: 44,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,385.62 : 114,605.16 = 29,671.30 : x
  2. Step 2: Convert to fraction form
    76,385.62/114,605.16 = 29,671.30/x
  3. Step 3: Cross multiply
    76,385.62x = 114,605.16 × 29,671.30
  4. Step 4: Simplify right side
    76,385.62x = 3,400,484,083.91
  5. Step 5: Solve for x
    x = 3,400,484,083.91/76,385.62
  6. Step 6: Final answer
    x = 44,517.33

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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.