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Finding the Fourth Proportional to 82,145.35, 113,356.56 and 46,335.25

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Solution

The fourth proportional to 82,145.35, 113,356.56 and 46,335.25 is: 63,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.35 : 113,356.56 = 46,335.25 : x
  2. Step 2: Convert to fraction form
    82,145.35/113,356.56 = 46,335.25/x
  3. Step 3: Cross multiply
    82,145.35x = 113,356.56 × 46,335.25
  4. Step 4: Simplify right side
    82,145.35x = 5,252,404,546.74
  5. Step 5: Solve for x
    x = 5,252,404,546.74/82,145.35
  6. Step 6: Final answer
    x = 63,940.38

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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.