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Finding the Fourth Proportional to 104,064, 156,090.52 and 29,189.32

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Solution

The fourth proportional to 104,064, 156,090.52 and 29,189.32 is: 43,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,064 : 156,090.52 = 29,189.32 : x
  2. Step 2: Convert to fraction form
    104,064/156,090.52 = 29,189.32/x
  3. Step 3: Cross multiply
    104,064x = 156,090.52 × 29,189.32
  4. Step 4: Simplify right side
    104,064x = 4,556,176,137.25
  5. Step 5: Solve for x
    x = 4,556,176,137.25/104,064
  6. Step 6: Final answer
    x = 43,782.44

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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.