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Finding the Fourth Proportional to 73,116, 100,900.22 and 39,582

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Solution

The fourth proportional to 73,116, 100,900.22 and 39,582 is: 54,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,116 : 100,900.22 = 39,582 : x
  2. Step 2: Convert to fraction form
    73,116/100,900.22 = 39,582/x
  3. Step 3: Cross multiply
    73,116x = 100,900.22 × 39,582
  4. Step 4: Simplify right side
    73,116x = 3,993,832,310.13
  5. Step 5: Solve for x
    x = 3,993,832,310.13/73,116
  6. Step 6: Final answer
    x = 54,623.23

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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.