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Finding the Fourth Proportional to 104,649.76, 156,974.64 and 30,777.76

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Solution

The fourth proportional to 104,649.76, 156,974.64 and 30,777.76 is: 46,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,649.76 : 156,974.64 = 30,777.76 : x
  2. Step 2: Convert to fraction form
    104,649.76/156,974.64 = 30,777.76/x
  3. Step 3: Cross multiply
    104,649.76x = 156,974.64 × 30,777.76
  4. Step 4: Simplify right side
    104,649.76x = 4,831,327,796.01
  5. Step 5: Solve for x
    x = 4,831,327,796.01/104,649.76
  6. Step 6: Final answer
    x = 46,166.64

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1.5x scale

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.