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Finding the Fourth Proportional to 30,840.40, 46,186.02 and 17,652.82

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Solution

The fourth proportional to 30,840.40, 46,186.02 and 17,652.82 is: 26,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.40 : 46,186.02 = 17,652.82 : x
  2. Step 2: Convert to fraction form
    30,840.40/46,186.02 = 17,652.82/x
  3. Step 3: Cross multiply
    30,840.40x = 46,186.02 × 17,652.82
  4. Step 4: Simplify right side
    30,840.40x = 815,313,497.58
  5. Step 5: Solve for x
    x = 815,313,497.58/30,840.40
  6. Step 6: Final answer
    x = 26,436.54

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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.