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Finding the Fourth Proportional to 51,566, 77,361.96 and 14,630

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Solution

The fourth proportional to 51,566, 77,361.96 and 14,630 is: 21,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,566 : 77,361.96 = 14,630 : x
  2. Step 2: Convert to fraction form
    51,566/77,361.96 = 14,630/x
  3. Step 3: Cross multiply
    51,566x = 77,361.96 × 14,630
  4. Step 4: Simplify right side
    51,566x = 1,131,805,474.80
  5. Step 5: Solve for x
    x = 1,131,805,474.80/51,566
  6. Step 6: Final answer
    x = 21,948.68

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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.