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Finding the Fourth Proportional to 35,661.54, 49,212.91 and 19,747

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Solution

The fourth proportional to 35,661.54, 49,212.91 and 19,747 is: 27,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,661.54 : 49,212.91 = 19,747 : x
  2. Step 2: Convert to fraction form
    35,661.54/49,212.91 = 19,747/x
  3. Step 3: Cross multiply
    35,661.54x = 49,212.91 × 19,747
  4. Step 4: Simplify right side
    35,661.54x = 971,807,333.77
  5. Step 5: Solve for x
    x = 971,807,333.77/35,661.54
  6. Step 6: Final answer
    x = 27,250.85

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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.