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Finding the Fourth Proportional to 51,504.87, 77,269.35 and 15,964.33

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Solution

The fourth proportional to 51,504.87, 77,269.35 and 15,964.33 is: 23,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504.87 : 77,269.35 = 15,964.33 : x
  2. Step 2: Convert to fraction form
    51,504.87/77,269.35 = 15,964.33/x
  3. Step 3: Cross multiply
    51,504.87x = 77,269.35 × 15,964.33
  4. Step 4: Simplify right side
    51,504.87x = 1,233,553,209.11
  5. Step 5: Solve for x
    x = 1,233,553,209.11/51,504.87
  6. Step 6: Final answer
    x = 23,950.22

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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.