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Finding the Fourth Proportional to 51,157.98, 76,732.92 and 19,993.50

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Solution

The fourth proportional to 51,157.98, 76,732.92 and 19,993.50 is: 29,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,157.98 : 76,732.92 = 19,993.50 : x
  2. Step 2: Convert to fraction form
    51,157.98/76,732.92 = 19,993.50/x
  3. Step 3: Cross multiply
    51,157.98x = 76,732.92 × 19,993.50
  4. Step 4: Simplify right side
    51,157.98x = 1,534,159,636.02
  5. Step 5: Solve for x
    x = 1,534,159,636.02/51,157.98
  6. Step 6: Final answer
    x = 29,988.67

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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.