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Finding the Fourth Proportional to 46,882.70, 64,698.14 and 25,662.42

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Solution

The fourth proportional to 46,882.70, 64,698.14 and 25,662.42 is: 35,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882.70 : 64,698.14 = 25,662.42 : x
  2. Step 2: Convert to fraction form
    46,882.70/64,698.14 = 25,662.42/x
  3. Step 3: Cross multiply
    46,882.70x = 64,698.14 × 25,662.42
  4. Step 4: Simplify right side
    46,882.70x = 1,660,310,906.05
  5. Step 5: Solve for x
    x = 1,660,310,906.05/46,882.70
  6. Step 6: Final answer
    x = 35,414.15

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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.