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Finding the Fourth Proportional to 46,882.28, 64,698 and 25,662

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Solution

The fourth proportional to 46,882.28, 64,698 and 25,662 is: 35,413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882.28 : 64,698 = 25,662 : x
  2. Step 2: Convert to fraction form
    46,882.28/64,698 = 25,662/x
  3. Step 3: Cross multiply
    46,882.28x = 64,698 × 25,662
  4. Step 4: Simplify right side
    46,882.28x = 1,660,280,076
  5. Step 5: Solve for x
    x = 1,660,280,076/46,882.28
  6. Step 6: Final answer
    x = 35,413.81

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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.