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Finding the Fourth Proportional to 104,638.52, 156,918.90 and 34,499

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Solution

The fourth proportional to 104,638.52, 156,918.90 and 34,499 is: 51,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,638.52 : 156,918.90 = 34,499 : x
  2. Step 2: Convert to fraction form
    104,638.52/156,918.90 = 34,499/x
  3. Step 3: Cross multiply
    104,638.52x = 156,918.90 × 34,499
  4. Step 4: Simplify right side
    104,638.52x = 5,413,545,131.10
  5. Step 5: Solve for x
    x = 5,413,545,131.10/104,638.52
  6. Step 6: Final answer
    x = 51,735.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.