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Finding the Fourth Proportional to 73,346, 101,217.60 and 39,812

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Solution

The fourth proportional to 73,346, 101,217.60 and 39,812 is: 54,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,346 : 101,217.60 = 39,812 : x
  2. Step 2: Convert to fraction form
    73,346/101,217.60 = 39,812/x
  3. Step 3: Cross multiply
    73,346x = 101,217.60 × 39,812
  4. Step 4: Simplify right side
    73,346x = 4,029,675,091.20
  5. Step 5: Solve for x
    x = 4,029,675,091.20/73,346
  6. Step 6: Final answer
    x = 54,940.63

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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.