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Finding the Fourth Proportional to 38,538.50, 57,807.75 and 10,836.50

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Solution

The fourth proportional to 38,538.50, 57,807.75 and 10,836.50 is: 16,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,538.50 : 57,807.75 = 10,836.50 : x
  2. Step 2: Convert to fraction form
    38,538.50/57,807.75 = 10,836.50/x
  3. Step 3: Cross multiply
    38,538.50x = 57,807.75 × 10,836.50
  4. Step 4: Simplify right side
    38,538.50x = 626,433,682.88
  5. Step 5: Solve for x
    x = 626,433,682.88/38,538.50
  6. Step 6: Final answer
    x = 16,254.75

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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.