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Finding the Fourth Proportional to 30,832.39, 46,174.06 and 17,644.78

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Solution

The fourth proportional to 30,832.39, 46,174.06 and 17,644.78 is: 26,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.39 : 46,174.06 = 17,644.78 : x
  2. Step 2: Convert to fraction form
    30,832.39/46,174.06 = 17,644.78/x
  3. Step 3: Cross multiply
    30,832.39x = 46,174.06 × 17,644.78
  4. Step 4: Simplify right side
    30,832.39x = 814,730,811.31
  5. Step 5: Solve for x
    x = 814,730,811.31/30,832.39
  6. Step 6: Final answer
    x = 26,424.51

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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.