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Finding the Fourth Proportional to 47,675.28, 65,816.38 and 33,591

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Solution

The fourth proportional to 47,675.28, 65,816.38 and 33,591 is: 46,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,675.28 : 65,816.38 = 33,591 : x
  2. Step 2: Convert to fraction form
    47,675.28/65,816.38 = 33,591/x
  3. Step 3: Cross multiply
    47,675.28x = 65,816.38 × 33,591
  4. Step 4: Simplify right side
    47,675.28x = 2,210,838,020.58
  5. Step 5: Solve for x
    x = 2,210,838,020.58/47,675.28
  6. Step 6: Final answer
    x = 46,372.84

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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.