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Finding the Fourth Proportional to 82,556.38, 113,928.24 and 46,753.36

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Solution

The fourth proportional to 82,556.38, 113,928.24 and 46,753.36 is: 64,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,556.38 : 113,928.24 = 46,753.36 : x
  2. Step 2: Convert to fraction form
    82,556.38/113,928.24 = 46,753.36/x
  3. Step 3: Cross multiply
    82,556.38x = 113,928.24 × 46,753.36
  4. Step 4: Simplify right side
    82,556.38x = 5,326,528,018.89
  5. Step 5: Solve for x
    x = 5,326,528,018.89/82,556.38
  6. Step 6: Final answer
    x = 64,519.88

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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.