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Finding the Fourth Proportional to 30,579.72, 42,197.52 and 17,149.16

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Solution

The fourth proportional to 30,579.72, 42,197.52 and 17,149.16 is: 23,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579.72 : 42,197.52 = 17,149.16 : x
  2. Step 2: Convert to fraction form
    30,579.72/42,197.52 = 17,149.16/x
  3. Step 3: Cross multiply
    30,579.72x = 42,197.52 × 17,149.16
  4. Step 4: Simplify right side
    30,579.72x = 723,652,022.08
  5. Step 5: Solve for x
    x = 723,652,022.08/30,579.72
  6. Step 6: Final answer
    x = 23,664.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.