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Finding the Fourth Proportional to 68,829.21, 103,174.10 and 46,644.83

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Solution

The fourth proportional to 68,829.21, 103,174.10 and 46,644.83 is: 69,920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,829.21 : 103,174.10 = 46,644.83 : x
  2. Step 2: Convert to fraction form
    68,829.21/103,174.10 = 46,644.83/x
  3. Step 3: Cross multiply
    68,829.21x = 103,174.10 × 46,644.83
  4. Step 4: Simplify right side
    68,829.21x = 4,812,538,354.90
  5. Step 5: Solve for x
    x = 4,812,538,354.90/68,829.21
  6. Step 6: Final answer
    x = 69,920.00

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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.