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Finding the Fourth Proportional to 38,532, 57,799.64 and 12,236.16

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Solution

The fourth proportional to 38,532, 57,799.64 and 12,236.16 is: 18,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532 : 57,799.64 = 12,236.16 : x
  2. Step 2: Convert to fraction form
    38,532/57,799.64 = 12,236.16/x
  3. Step 3: Cross multiply
    38,532x = 57,799.64 × 12,236.16
  4. Step 4: Simplify right side
    38,532x = 707,245,642.98
  5. Step 5: Solve for x
    x = 707,245,642.98/38,532
  6. Step 6: Final answer
    x = 18,354.76

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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.