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Finding the Fourth Proportional to 51,329.40, 77,022.90 and 21,742.20

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Solution

The fourth proportional to 51,329.40, 77,022.90 and 21,742.20 is: 32,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329.40 : 77,022.90 = 21,742.20 : x
  2. Step 2: Convert to fraction form
    51,329.40/77,022.90 = 21,742.20/x
  3. Step 3: Cross multiply
    51,329.40x = 77,022.90 × 21,742.20
  4. Step 4: Simplify right side
    51,329.40x = 1,674,647,296.38
  5. Step 5: Solve for x
    x = 1,674,647,296.38/51,329.40
  6. Step 6: Final answer
    x = 32,625.50

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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.