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Finding the Fourth Proportional to 82,166.65, 113,393.37 and 46,356.50

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Solution

The fourth proportional to 82,166.65, 113,393.37 and 46,356.50 is: 63,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166.65 : 113,393.37 = 46,356.50 : x
  2. Step 2: Convert to fraction form
    82,166.65/113,393.37 = 46,356.50/x
  3. Step 3: Cross multiply
    82,166.65x = 113,393.37 × 46,356.50
  4. Step 4: Simplify right side
    82,166.65x = 5,256,519,952.97
  5. Step 5: Solve for x
    x = 5,256,519,952.97/82,166.65
  6. Step 6: Final answer
    x = 63,973.88

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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.