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Finding the Fourth Proportional to 38,484.50, 57,736.47 and 10,782.50

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Solution

The fourth proportional to 38,484.50, 57,736.47 and 10,782.50 is: 16,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,484.50 : 57,736.47 = 10,782.50 : x
  2. Step 2: Convert to fraction form
    38,484.50/57,736.47 = 10,782.50/x
  3. Step 3: Cross multiply
    38,484.50x = 57,736.47 × 10,782.50
  4. Step 4: Simplify right side
    38,484.50x = 622,543,487.78
  5. Step 5: Solve for x
    x = 622,543,487.78/38,484.50
  6. Step 6: Final answer
    x = 16,176.47

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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.