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Finding the Fourth Proportional to 73,262, 101,101.56 and 39,728

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Solution

The fourth proportional to 73,262, 101,101.56 and 39,728 is: 54,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,262 : 101,101.56 = 39,728 : x
  2. Step 2: Convert to fraction form
    73,262/101,101.56 = 39,728/x
  3. Step 3: Cross multiply
    73,262x = 101,101.56 × 39,728
  4. Step 4: Simplify right side
    73,262x = 4,016,562,775.68
  5. Step 5: Solve for x
    x = 4,016,562,775.68/73,262
  6. Step 6: Final answer
    x = 54,824.64

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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.