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Finding the Fourth Proportional to 104,648.44, 156,972.65 and 30,776.44

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Solution

The fourth proportional to 104,648.44, 156,972.65 and 30,776.44 is: 46,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,648.44 : 156,972.65 = 30,776.44 : x
  2. Step 2: Convert to fraction form
    104,648.44/156,972.65 = 30,776.44/x
  3. Step 3: Cross multiply
    104,648.44x = 156,972.65 × 30,776.44
  4. Step 4: Simplify right side
    104,648.44x = 4,831,059,344.37
  5. Step 5: Solve for x
    x = 4,831,059,344.37/104,648.44
  6. Step 6: Final answer
    x = 46,164.66

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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.