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Finding the Fourth Proportional to 69,564, 104,346 and 32,628

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Solution

The fourth proportional to 69,564, 104,346 and 32,628 is: 48,942

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,564 : 104,346 = 32,628 : x
  2. Step 2: Convert to fraction form
    69,564/104,346 = 32,628/x
  3. Step 3: Cross multiply
    69,564x = 104,346 × 32,628
  4. Step 4: Simplify right side
    69,564x = 3,404,601,288
  5. Step 5: Solve for x
    x = 3,404,601,288/69,564
  6. Step 6: Final answer
    x = 48,942

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.