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Finding the Fourth Proportional to 73,040, 100,795.38 and 39,506

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Solution

The fourth proportional to 73,040, 100,795.38 and 39,506 is: 54,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,040 : 100,795.38 = 39,506 : x
  2. Step 2: Convert to fraction form
    73,040/100,795.38 = 39,506/x
  3. Step 3: Cross multiply
    73,040x = 100,795.38 × 39,506
  4. Step 4: Simplify right side
    73,040x = 3,982,022,282.28
  5. Step 5: Solve for x
    x = 3,982,022,282.28/73,040
  6. Step 6: Final answer
    x = 54,518.38

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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.