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Finding the Fourth Proportional to 73,516, 101,453.76 and 39,982

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Solution

The fourth proportional to 73,516, 101,453.76 and 39,982 is: 55,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,516 : 101,453.76 = 39,982 : x
  2. Step 2: Convert to fraction form
    73,516/101,453.76 = 39,982/x
  3. Step 3: Cross multiply
    73,516x = 101,453.76 × 39,982
  4. Step 4: Simplify right side
    73,516x = 4,056,324,232.32
  5. Step 5: Solve for x
    x = 4,056,324,232.32/73,516
  6. Step 6: Final answer
    x = 55,176.07

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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.