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Finding the Fourth Proportional to 76,648.50, 114,775.90 and 46,976.44

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Solution

The fourth proportional to 76,648.50, 114,775.90 and 46,976.44 is: 70,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,648.50 : 114,775.90 = 46,976.44 : x
  2. Step 2: Convert to fraction form
    76,648.50/114,775.90 = 46,976.44/x
  3. Step 3: Cross multiply
    76,648.50x = 114,775.90 × 46,976.44
  4. Step 4: Simplify right side
    76,648.50x = 5,391,763,179.80
  5. Step 5: Solve for x
    x = 5,391,763,179.80/76,648.50
  6. Step 6: Final answer
    x = 70,344.01

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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.