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Finding the Fourth Proportional to 73,194, 101,007.84 and 39,660

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Solution

The fourth proportional to 73,194, 101,007.84 and 39,660 is: 54,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,194 : 101,007.84 = 39,660 : x
  2. Step 2: Convert to fraction form
    73,194/101,007.84 = 39,660/x
  3. Step 3: Cross multiply
    73,194x = 101,007.84 × 39,660
  4. Step 4: Simplify right side
    73,194x = 4,005,970,934.40
  5. Step 5: Solve for x
    x = 4,005,970,934.40/73,194
  6. Step 6: Final answer
    x = 54,730.87

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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.