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Finding the Fourth Proportional to 68,709.40, 103,064.10 and 47,714.20

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Solution

The fourth proportional to 68,709.40, 103,064.10 and 47,714.20 is: 71,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,709.40 : 103,064.10 = 47,714.20 : x
  2. Step 2: Convert to fraction form
    68,709.40/103,064.10 = 47,714.20/x
  3. Step 3: Cross multiply
    68,709.40x = 103,064.10 × 47,714.20
  4. Step 4: Simplify right side
    68,709.40x = 4,917,621,080.22
  5. Step 5: Solve for x
    x = 4,917,621,080.22/68,709.40
  6. Step 6: Final answer
    x = 71,571.30

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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.