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Finding the Fourth Proportional to 73,166.32, 100,963.56 and 41,338

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Solution

The fourth proportional to 73,166.32, 100,963.56 and 41,338 is: 57,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166.32 : 100,963.56 = 41,338 : x
  2. Step 2: Convert to fraction form
    73,166.32/100,963.56 = 41,338/x
  3. Step 3: Cross multiply
    73,166.32x = 100,963.56 × 41,338
  4. Step 4: Simplify right side
    73,166.32x = 4,173,631,643.28
  5. Step 5: Solve for x
    x = 4,173,631,643.28/73,166.32
  6. Step 6: Final answer
    x = 57,043.07

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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.