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Finding the Fourth Proportional to 30,650.64, 45,943.24 and 17,474.64

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Solution

The fourth proportional to 30,650.64, 45,943.24 and 17,474.64 is: 26,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.64 : 45,943.24 = 17,474.64 : x
  2. Step 2: Convert to fraction form
    30,650.64/45,943.24 = 17,474.64/x
  3. Step 3: Cross multiply
    30,650.64x = 45,943.24 × 17,474.64
  4. Step 4: Simplify right side
    30,650.64x = 802,841,579.43
  5. Step 5: Solve for x
    x = 802,841,579.43/30,650.64
  6. Step 6: Final answer
    x = 26,193.31

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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.