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Finding the Fourth Proportional to 104,514, 156,797.04 and 30,642

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Solution

The fourth proportional to 104,514, 156,797.04 and 30,642 is: 45,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,514 : 156,797.04 = 30,642 : x
  2. Step 2: Convert to fraction form
    104,514/156,797.04 = 30,642/x
  3. Step 3: Cross multiply
    104,514x = 156,797.04 × 30,642
  4. Step 4: Simplify right side
    104,514x = 4,804,574,899.68
  5. Step 5: Solve for x
    x = 4,804,574,899.68/104,514
  6. Step 6: Final answer
    x = 45,970.63

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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.