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Finding the Fourth Proportional to 73,694.76, 101,715.14 and 46,832

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Solution

The fourth proportional to 73,694.76, 101,715.14 and 46,832 is: 64,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,694.76 : 101,715.14 = 46,832 : x
  2. Step 2: Convert to fraction form
    73,694.76/101,715.14 = 46,832/x
  3. Step 3: Cross multiply
    73,694.76x = 101,715.14 × 46,832
  4. Step 4: Simplify right side
    73,694.76x = 4,763,523,436.48
  5. Step 5: Solve for x
    x = 4,763,523,436.48/73,694.76
  6. Step 6: Final answer
    x = 64,638.56

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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.