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Finding the Fourth Proportional to 104,649.45, 156,974.13 and 30,777.45

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Solution

The fourth proportional to 104,649.45, 156,974.13 and 30,777.45 is: 46,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,649.45 : 156,974.13 = 30,777.45 : x
  2. Step 2: Convert to fraction form
    104,649.45/156,974.13 = 30,777.45/x
  3. Step 3: Cross multiply
    104,649.45x = 156,974.13 × 30,777.45
  4. Step 4: Simplify right side
    104,649.45x = 4,831,263,437.37
  5. Step 5: Solve for x
    x = 4,831,263,437.37/104,649.45
  6. Step 6: Final answer
    x = 46,166.16

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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.