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Finding the Fourth Proportional to 47,813.52, 65,982.12 and 26,594.64

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Solution

The fourth proportional to 47,813.52, 65,982.12 and 26,594.64 is: 36,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813.52 : 65,982.12 = 26,594.64 : x
  2. Step 2: Convert to fraction form
    47,813.52/65,982.12 = 26,594.64/x
  3. Step 3: Cross multiply
    47,813.52x = 65,982.12 × 26,594.64
  4. Step 4: Simplify right side
    47,813.52x = 1,754,770,727.84
  5. Step 5: Solve for x
    x = 1,754,770,727.84/47,813.52
  6. Step 6: Final answer
    x = 36,700.30

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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.