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Finding the Fourth Proportional to 32,546.12, 44,913.54 and 17,642.12

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Solution

The fourth proportional to 32,546.12, 44,913.54 and 17,642.12 is: 24,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.12 : 44,913.54 = 17,642.12 : x
  2. Step 2: Convert to fraction form
    32,546.12/44,913.54 = 17,642.12/x
  3. Step 3: Cross multiply
    32,546.12x = 44,913.54 × 17,642.12
  4. Step 4: Simplify right side
    32,546.12x = 792,370,062.30
  5. Step 5: Solve for x
    x = 792,370,062.30/32,546.12
  6. Step 6: Final answer
    x = 24,346.07

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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.