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Finding the Fourth Proportional to 52,409.26, 72,346.52 and 39,666

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Solution

The fourth proportional to 52,409.26, 72,346.52 and 39,666 is: 54,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.26 : 72,346.52 = 39,666 : x
  2. Step 2: Convert to fraction form
    52,409.26/72,346.52 = 39,666/x
  3. Step 3: Cross multiply
    52,409.26x = 72,346.52 × 39,666
  4. Step 4: Simplify right side
    52,409.26x = 2,869,696,863.99
  5. Step 5: Solve for x
    x = 2,869,696,863.99/52,409.26
  6. Step 6: Final answer
    x = 54,755.53

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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.