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Finding the Fourth Proportional to 104,651.60, 156,977.40 and 34,521.80

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Solution

The fourth proportional to 104,651.60, 156,977.40 and 34,521.80 is: 51,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,651.60 : 156,977.40 = 34,521.80 : x
  2. Step 2: Convert to fraction form
    104,651.60/156,977.40 = 34,521.80/x
  3. Step 3: Cross multiply
    104,651.60x = 156,977.40 × 34,521.80
  4. Step 4: Simplify right side
    104,651.60x = 5,419,142,407.32
  5. Step 5: Solve for x
    x = 5,419,142,407.32/104,651.60
  6. Step 6: Final answer
    x = 51,782.70

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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.