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Finding the Fourth Proportional to 35,965.22, 53,947.82 and 9,672.62

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Solution

The fourth proportional to 35,965.22, 53,947.82 and 9,672.62 is: 14,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.22 : 53,947.82 = 9,672.62 : x
  2. Step 2: Convert to fraction form
    35,965.22/53,947.82 = 9,672.62/x
  3. Step 3: Cross multiply
    35,965.22x = 53,947.82 × 9,672.62
  4. Step 4: Simplify right side
    35,965.22x = 521,816,517.13
  5. Step 5: Solve for x
    x = 521,816,517.13/35,965.22
  6. Step 6: Final answer
    x = 14,508.92

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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.