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Finding the Fourth Proportional to 51,663, 71,236.24 and 46,625.64

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Solution

The fourth proportional to 51,663, 71,236.24 and 46,625.64 is: 64,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,663 : 71,236.24 = 46,625.64 : x
  2. Step 2: Convert to fraction form
    51,663/71,236.24 = 46,625.64/x
  3. Step 3: Cross multiply
    51,663x = 71,236.24 × 46,625.64
  4. Step 4: Simplify right side
    51,663x = 3,321,435,281.19
  5. Step 5: Solve for x
    x = 3,321,435,281.19/51,663
  6. Step 6: Final answer
    x = 64,290.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.