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Finding the Fourth Proportional to 73,351, 101,224.44 and 39,817

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Solution

The fourth proportional to 73,351, 101,224.44 and 39,817 is: 54,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,351 : 101,224.44 = 39,817 : x
  2. Step 2: Convert to fraction form
    73,351/101,224.44 = 39,817/x
  3. Step 3: Cross multiply
    73,351x = 101,224.44 × 39,817
  4. Step 4: Simplify right side
    73,351x = 4,030,453,527.48
  5. Step 5: Solve for x
    x = 4,030,453,527.48/73,351
  6. Step 6: Final answer
    x = 54,947.49

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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.