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Finding the Fourth Proportional to 104,514.88, 156,720.48 and 34,384

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Solution

The fourth proportional to 104,514.88, 156,720.48 and 34,384 is: 51,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,514.88 : 156,720.48 = 34,384 : x
  2. Step 2: Convert to fraction form
    104,514.88/156,720.48 = 34,384/x
  3. Step 3: Cross multiply
    104,514.88x = 156,720.48 × 34,384
  4. Step 4: Simplify right side
    104,514.88x = 5,388,676,984.32
  5. Step 5: Solve for x
    x = 5,388,676,984.32/104,514.88
  6. Step 6: Final answer
    x = 51,558.95

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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.