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Finding the Fourth Proportional to 51,504.80, 77,269.25 and 15,964.27

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Solution

The fourth proportional to 51,504.80, 77,269.25 and 15,964.27 is: 23,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504.80 : 77,269.25 = 15,964.27 : x
  2. Step 2: Convert to fraction form
    51,504.80/77,269.25 = 15,964.27/x
  3. Step 3: Cross multiply
    51,504.80x = 77,269.25 × 15,964.27
  4. Step 4: Simplify right side
    51,504.80x = 1,233,547,169.70
  5. Step 5: Solve for x
    x = 1,233,547,169.70/51,504.80
  6. Step 6: Final answer
    x = 23,950.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.