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Finding the Fourth Proportional to 51,015.30, 71,495.24 and 51,015.30

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Solution

The fourth proportional to 51,015.30, 71,495.24 and 51,015.30 is: 71,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,015.30 : 71,495.24 = 51,015.30 : x
  2. Step 2: Convert to fraction form
    51,015.30/71,495.24 = 51,015.30/x
  3. Step 3: Cross multiply
    51,015.30x = 71,495.24 × 51,015.30
  4. Step 4: Simplify right side
    51,015.30x = 3,647,350,862.10
  5. Step 5: Solve for x
    x = 3,647,350,862.10/51,015.30
  6. Step 6: Final answer
    x = 71,495.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.