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Finding the Fourth Proportional to 47,473.96, 65,513.97 and 27,323.50

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Solution

The fourth proportional to 47,473.96, 65,513.97 and 27,323.50 is: 37,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473.96 : 65,513.97 = 27,323.50 : x
  2. Step 2: Convert to fraction form
    47,473.96/65,513.97 = 27,323.50/x
  3. Step 3: Cross multiply
    47,473.96x = 65,513.97 × 27,323.50
  4. Step 4: Simplify right side
    47,473.96x = 1,790,070,959.30
  5. Step 5: Solve for x
    x = 1,790,070,959.30/47,473.96
  6. Step 6: Final answer
    x = 37,706.38

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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.