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Finding the Fourth Proportional to 51,713.81, 71,368.12 and 38,944.47

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Solution

The fourth proportional to 51,713.81, 71,368.12 and 38,944.47 is: 53,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713.81 : 71,368.12 = 38,944.47 : x
  2. Step 2: Convert to fraction form
    51,713.81/71,368.12 = 38,944.47/x
  3. Step 3: Cross multiply
    51,713.81x = 71,368.12 × 38,944.47
  4. Step 4: Simplify right side
    51,713.81x = 2,779,393,608.30
  5. Step 5: Solve for x
    x = 2,779,393,608.30/51,713.81
  6. Step 6: Final answer
    x = 53,745.67

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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.