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Finding the Fourth Proportional to 35,074.92, 48,401.38 and 19,971.24

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Solution

The fourth proportional to 35,074.92, 48,401.38 and 19,971.24 is: 27,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,074.92 : 48,401.38 = 19,971.24 : x
  2. Step 2: Convert to fraction form
    35,074.92/48,401.38 = 19,971.24/x
  3. Step 3: Cross multiply
    35,074.92x = 48,401.38 × 19,971.24
  4. Step 4: Simplify right side
    35,074.92x = 966,635,576.31
  5. Step 5: Solve for x
    x = 966,635,576.31/35,074.92
  6. Step 6: Final answer
    x = 27,559.17

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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.