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Finding the Fourth Proportional to 104,649.10, 156,973.65 and 34,519.30

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Solution

The fourth proportional to 104,649.10, 156,973.65 and 34,519.30 is: 51,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,649.10 : 156,973.65 = 34,519.30 : x
  2. Step 2: Convert to fraction form
    104,649.10/156,973.65 = 34,519.30/x
  3. Step 3: Cross multiply
    104,649.10x = 156,973.65 × 34,519.30
  4. Step 4: Simplify right side
    104,649.10x = 5,418,620,516.45
  5. Step 5: Solve for x
    x = 5,418,620,516.45/104,649.10
  6. Step 6: Final answer
    x = 51,778.95

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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.